Answer: How to Calculate Slope of a Line
Calculate slope, m using the formula for slope:
Slope Formula
m=(y2−y1)(x2−x1)
m=riserun=ΔyΔx=y2−y1x2−x1
Here you need to know the coordinates of 2 points on a line, (x1, y1) and (x2, y2).
How to Find Slope of a Line
Find the difference between the y coordinates, Δy is change in y
Δy = y2 - y1
Find the difference between the x coordinates, Δx is change in x
Δx = x2 - x1
Divide Δy by Δx to find slope
m = Δy/Δx
Example: Find the Slope
Say you know two points on a line and their coordinates are (2, 5) and (9, 19). Find slope by finding the difference in the y points, and divide that by the difference in the x points.
The difference between y coordinates Δy is
Δy = y2 - y1
Δy = 19 - 5
Δy = 14
The difference between x coordinates Δx is
Δx = x2 - x1
Δx = 9 - 2
Δx = 7
Divide Δy by Δx to find slope m
m=142
m=7
Line Equations with Slope
There are 3 common ways to write line equations with slope:
Point slope form
Slope intercept form
Standard form
Point slope form is written as
y - y1 = m(x - x1)
Using the coordinates of one of the points on the line, insert the values in the x1 and y1 spots to get an equation of a line in point slope form.
Lets use a point from the original example above (2, 5), and the slope which we calculated as 7. Put those values in the point slope format to get an equation of that line in point slope form:
y - 5 = 7(x - 2)
If you simplify the point slope equation above you get the equation of the line in slope intercept form.
Slope intercept form is written as
y = mx + b
Take the point slope form equation and multiply out 7 times x and 7 times 2.
y - 5 = 7(x - 2)
y - 5 = 7x - 14
Continue to work the equation so that y is on one side of the equals sign and everything else is on the other side.
Add 5 to both sides of the equation to get the equation in slope intercept form:
y = 7x - 9
Standard form of the equation for a line is written as
Ax + By = C
You may also see standard form written as Ax + By + C = 0 in some references.
Use either the point slope form or slope intercept form equation and work out the math to rearrange the equation into standard form. Note that the equation should not include fractions or decimals, and the x coefficient should only be positive.
Slope intercept form: y = 7x - 9
Subtract y from both sides of the equation to get 7x - y - 9 = 0
Add 9 to both sides of the equation to get 7x - y = 9
Slope intercept form y = 7x - 9 becomes 7x - y = 9 written in standard form.
Find Slope From an Equation
If you have the equation for a line you can put it into slope intercept form. The coefficient of x will be the slope.
Example
You have the equation of a line, 6x - 2y = 12, and you need to find the slope.
Your goal is to get the equation into slope intercept format y = mx + b
Start with your equation 6x - 2y = 12
Add 2y to both sides to get 6x = 12 + 2y
Subtract 12 from both sides of the equation to get 6x - 12 = 2y
You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y = 3x - 6
This is slope intercept form, y = 3x - 6. Slope is the coefficient of x so in this case slope = 3
How to Find the y-Intercept
The y-intercept of a line is the value of y when x=0. It is the point where the line crosses the y axis.
Using the equation y = 3x - 6, set x=0 to find the y-intercept.
y = 3(0) - 6
y = -6
The y-intercept is -6
How to Find the x-Intercept
The x-intercept of a line is the value of x when y=0. It is the point where the line crosses the x axis.
Using the equation y = 3x - 6, set y=0 to find the x-intercept.
0 = 3x - 6
3x = 6
OTHER WORDS: D. M = 10
Step-by-step explanation:
Carolyn is making a quilt using quilt blocks like the one shown below. All the shaded squares are the same size and all the shaded triangles are the same size. what is the ratio of the area of the shaded pieces to the area of the white pieces?
Answer:
117
Step-by-step explanation:
Side of shaded square = 3 in
Area of shaded square = side * side = 3 * 3 = 9 square inches
5 shaded square so we multiply the area by 5
Total area of shaded square = 9 * 5 = 45 square inches
Next the area of shaded triangle
Base of shaded triangle = 6 in
Height of shaded triangle = 6 in
Area of shaded triangle = 1/2 x base x height = 1/2 x 6 x 6 = 18
4 shaded triangles so we multiply the area by 4
Total area of shaded triangle = 18 * 4= 72 square inches
Area of shaded triangle + area of shaded square
Total area = 45 + 72 = 117 square inches
help pleaseeeeeeeeeeeeeee
:(
The coordinates of vertex A' are (-2, 1)
The coordinates of vertex B' are (-3, 3)
The coordinates of vertex C' are (-1, 3)
Answer:
Vertex A is (-2,1)
Vertex B is (-3,3)
Vertex C is (-1,3)
Step-by-step explanation: When finding Vertex, all you nees to do is find the ordered pairs. Ordered pairs are a set of numbers that are graphed at certain numbers on the x-axis and the y-axis. To find ordered pairs, start with the x-axis (the horizontal line) and find what number it is on. Then use the y-axis (the vertical line) and find what number the point is on.
I am a high schooler and I know that math is hard. Just keep a positive mindset and power through it. You got this!
please help with this question!!!!!!!!
Answer:
S equal 28.
explanation: 180-90=90
90-58=32
32-4=28
Beinggreat78 answer fast please :')
Answer:
A.
Step-by-step explanation:
The radius is always half the diameter
What is the sum in the expression
14 + b - 27d
13 because 27_ 14=13. and yah.
Ben reads 14 pages out of the 20 pages in a chapter. Which of the following ratios is equivalent to the ratio of the pages Ben read to the total number of pages?
Question 3 options:
7/10
10/7
6:10
10:6
Answer:
7/10
Step-by-step explanation:
because the ratio would be 14/20 but if you divide it by two then you get 7/10
Answer:
7/10
Step-by-step explanation:
14 divided by 20 is 0.7 witch is 7/10
Evaluate the following
Answer:
15
11
Step-by-step explanation:
Absolute value is always the positive of the number
hope this helps!
Answer:
15 & 11
Step-by-step explanation:
If it is the absolute value of the number, it will always be positive.
Math Homework Help! :/
Answer:
16π
192π
Step-by-step explanation:
I've attached a screenshot I took from my calculator
(a) Basically, I did what the question asked by putting the numbers they gave into the formula they gave
(b) I did the same thing, except each number is squared
i want to purchase a third of cupcake a third for me a third for my sister and 13 for my cousin
Answer:
whats the question?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Could you write the equation?
A student is using shadows and similar triangles to indirectly measure the height of a building. Which of the following proportions could not be used to accurately find the height?
Answer:
The first and third choice
Step-by-step explanation:
What is the missing height of the object below, if the volume is 154 cubic meters?
Answer:
It should be roughly 5.36 cm³
-------------------------------------------------------------------------------------------------------------
SolveSet the value for volume.
[tex]V = a^3[/tex]
a means the missing edge, here.
[tex]a^3 = 5.36^3\\\\5.36^3 = 5.36 * 5.36 * 5.36 = 153.99~cm^3[/tex]
That said, the closest you can get is 5.36
To convert 132 milligrams to grams, you can set up the proportion x/132 mg = 1,000/ 1 g
True
False
Answer:
FALSE
Step-by-step explanation: You can convert 132 milligrams by using the KHDUDCM(King Henry Died Unusually Drinking Chocolate Milk) And you will have to add three zeros to 132. (I might be incorrect)
please help :( its 2 months old (pt 2)
Answer:
3: Variable Equation = If h is hours then 8h - 75
The answer is 8 hours.
My work is 42x8-75
4: Variable Equation = Let x be the amount spent on jeans, then
1) 45 + 10 + x = 90
x = 90 - 55 = 35
:
2) let n be the number of jeans he will purchase, then
35n < or = x
Note that x = 35, therefore
35n < or = 35
n < or = 1
:
Billy has enough money left over from buying the jacket and hat to purchase 1 pair of jeans.
Good Luck!
Weatherman Dallas Raines predicts there to be 0.10 inches of rain on Saturday. On Saturday, it actually rained 0.25 inches. How much percent error was Dallas Raines from being accurate?
Answer:
150%
Step-by-step explanation:
(observed-true)/true
(25-10)/10
15/10
150%
An angle measures 73.4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Hence, the unknown angle is 30°
Step-by-step explanation: Complementary Angle Calculator is a free online tool that displays the complementary angle for the given angle measure. BYJU’S online complementary angle calculator tool makes the calculation faster, and it displays the answer in a fraction of seconds.
How to Use the Complementary Angle Calculator?
The procedure to use the complementary angle calculator is as follows:
Step 1: Enter the angle in the input field
Step 2: Now click the button “Solve” to get the result
Step 3: Finally, the complementary angle for the given angle will be displayed in the output field
What is Meant by Complementary Angle?
In Maths, two angles are said to be complementary, when the angles add up to 90 degrees. The complementary angle need not be adjacent to each other, but its sum should be equal to 90 degrees. For example, 47° and 43° are complementary angles.
Example:
To find out another angle if one of the complementary angles is 60°
Solution:
We know that the sum of complementary angles is 90
Let the unknown angle be x
Thus,
60° + x = 90°
X = 90° – 60°
X = 30°
Hence, the unknown angle is 30°
Look at this system of equations.
-3x+3y=12
y=x+4
The solution set of this system is best explained by which of these statements?
You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box.The base of the box measures 10 inches by 9 inches and the slant height is 6 inches. How much paper do you need to wrap the box?You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box.The base of the box measures 10 inches by 9 inches and the slant height is 6 inches. How much paper do you need to wrap the box?
Answer:
2826 inches^2
Step-by-step explanation:
The general formula for the total surface area of a regular pyramid is
T.S.A.=12pl+B
Where p represents the perimeter of the base, l the slant height and B the area of the base.
The perimeter of the base is.
p=2L+2W
P=2*10+2*9
P=20+18
P= 38 inches
The area of the base is.
B=10*9
B=90in^2
T.S.A.=12(38)(6)+90
T.S.A=2736+90
T.S.A=2826 inches^2
Drawing a red marble from a bag, then replacing the red marble and drawing out a blue marble. This event is Independent.
Answer Choices:
True
False
Answer:
False
Step-by-step explanation:
An independent event is an event in which the outcome isn't affected by another event.
What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the nearest tenth of a cubic inch?
Answer: [tex]V=47,721.9in^3[/tex]
Step-by-step explanation:
The volume of a hemisphere would be 1/2 of the volume of a sphere. The volume of a sphere is defined to be:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Therefore the volume of a hemisphere would be:
[tex]V=\frac{1}{2}( \frac{4}{3} \pi r^3)=\frac{2}{3} \pi r^3[/tex]
Plug everything in:
[tex]V=\frac{2}{3} \pi r^3=\frac{2}{3} \pi (28.35)^3=47,721.9in^3[/tex]
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
Hey I did this for a different person here was my answer on that and you can go check the question if youd like here is the link:
https://brainly.com/question/27344742
Answer:
8
Step-by-step explanation:
I bolded what I think is important to know.
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
8
Answer:
8
Step-by-step explanation:
Find a formula for the nth term of the sequence that begins 14.5, 16, 17.5, 19, 20.5 …. Assume that the first term corresponds to n=1.
F An=14.5+1.5(n-1)
G An=1.5+14.5(n-1)
H An=1.5+14.5n
J An=14.5+1.5n
Answer: F
Step-by-step explanation:
You can figure this out by plugging in the values of n for each expression and seeing which one gives you the given sequence.
Starting off with F
A(n) = 14.5 + 1.5(n-1)
A(1) = 14.5 + 1.5(1-1) --> 14.5 + 1.5(0) = 14.5
A(2) = 14.5 + 1.5(2-1) --> 14.5 + 1.5(1) = 16
A(3) = 14.5 + 1.5(3-1) --> 14.5 + 1.5(2) = 17.5
You can put in the remaining values of n if you want, but you should be able to notice that A(n) increases by 1.5 each term which follows the given sequence.
while J looks similar, it starts its sequence at 16 instead of 14.5 as it doesnt subtract 1 from n.
please help with this question!!!!
Answer:
Step-by-step explanation:
Fausto is 18 years old. He is two years younger than twice his brother Carlos' age. Which equation can be used to determine y, Carlos' age in years
A. 2y + 2 = 18
B. 2y - 2 = 18
C. 18 + 2y = 2
D. 2 + 18 = 2y + 2
Answer:B
Step-by-step explanation:
i took the test on usatestprep
Fausto 2 years younger than Carlo's.
2y - 2 = 18
2y = 18 + 2
2y = 20
The answer is B.
Please help me and include step by step so i can understand better
No bots please!
Answer:
(4/3)×3×4^3=256
Step by Step Explanation:
First, replace all the letters and signs with number, which will look like (4/3)×3×4^3. The r in the equation means radius and radius is half of the diameter (which is the 8), so that means the r is 4. Then, on your calculator, type in (4/3)×3. you should get 4. then take the 4 and muktuplmultiple
Answer:
256cm³
Step-by-step explanation:
V=4/3πr³
V=4/3×3×(4)³..............(half of 8cm)
V=256cm³
PLS MARK IT AS BRAINLIEST
How many milliliters are equal to 4.593 liters? (2 points) 4,593 milliliters 45.93 milliliters 45,930 milliliters 459.3 milliliters
Answer:
The answer is A. 4,593
Step-by-step explanation:
Just multiply the volume value by 1000
Find the absolute value.
Answer:
21
Step-by-step explanation:
i am pretty sure is 21
Answer:
21
Step-by-step explanation:
only answer 13 and 15 i did 14 already
Answer:
answer to 13 is 10
answer to 15 is 2,300?
Step-by-step explanation:
What is the constant of proportionality?
*Please explain how you got the answer*
Answer: The answer is 1.
Step-by-step explanation: I got the answer by looking at the graph and seeing where it matches up 0.5 matches up with 1. Also 1 matches up with 2.
help? (involves area of composite figures)
Your car's back window is in the shape of a trapezoid with the dimensions shown.
The 16-inch window wiper cleans a part of the window in a semicircular pattern.
What is the approximate area of the window that is not cleaned by the wiper?
Answer:
i got 338. so maybe A ??
Step-by-step explanation: hope this helpsWhich points on the number line below equal 1/4 when added together? E and J F and G G and H I and E
Answer:
f and g
Step-by-step explanation:
there are four lines between each number because f ang is the closet that means that they are 1/4 apart i and j would be another example of them being 1/4 apart