Find the slope of the line through points (4, 6) and (-6,2).
Answers
Answer: Slope = 2/5
Concept:
Here, we need to know how to find the slope.
Slope = (y₂ - y₁) / (x₂ - x₁)
If you are still confused, please refer to the attachment below for a clearer version of the formula
Solve:
Given information
(x₁, y₁) = (-6, 2)
(x₂, y₂) = (4, 6)
Given formula
Slope = (y₂ - y₁) / (x₂ - x₁)
Substitute values into the formula
Slope = (6 - 2) / (4 - (-6))
Simplify values in the parentheses
REMEMBER to change [+, -] signs when there is a [-] sign in front
Slope = 4 / (4 + 6)
Slope = 4 / 10
Divide both numerator and denominator by 2 to get the simplest form
Slope = (4 ÷ 2) / (10 ÷ 2)
Slope = 2/5
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
The cost price of a box and a pen is Rs 80 The box is sold at 10% profit and the pen is sold at 20% loss. If the selling price of the box is Rs 28 more than that of the pen, calculate the profit or loss percent in a whole.
Answers
Answer:
61.84%
Step-by-step explanation:
Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:
1.1x = 0.8(80 - x) + 28
We can simplify and solve:
1.1x = 64 - 0.8x + 28
1.9x = 92
x = 92/1.9
x = 920/19
The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).
The sum of these two can be written as a percent x of 80.
80x = 0.8(80 - 920/19) + 1.1(920/19)
80x = 64 - 0.8(920/19) + 1.1(920/9)
80x = 64 - 0.3(920/19)
80x = 64 - 276/19
80x = 940/19
x = 940/1520
x = 0.6184
This is 61.84%
Please Help im being timed!!! Is this True or False
Answers
Answer:
True
Step-by-step explanation:
[tex]f(x)=y=-8x+5: exchanging\ x\ and\ y\\\\x=-8y+5\\\\8y=-x+5\\\\f^{-1}(x)=y=\dfrac{-x}{8}+\dfrac{5}{8} =g(x)\\\\\\[/tex]
The two functions are inverses.
…..Help 30 points ……………
Answers
Answer:
answers below
Step-by-step explanation:
1. 21.50n (Print it)
2. 70+18n (Top Print)
3. This one is more complicated. First, you find out the cost from each store, by inserting 30 in place of n. (1. =645), (2.=610). Then, you subtract 610 from 645, which gets your difference to 35$.
4. There is an error in the wording, but the answer should be something along the lines of this. "Bill would need to buy 2 fewer shirts from Print It than from Top Print for Print it to be cheaper."
PLEASE HELP GIVING BRAINIEST AWNSER WORTH 20 POINTS
Write an algebraic expression that has two different variables
and two different operations: addition, subtraction, multiplication, or division. Then write
a real world problem that uses the expression.
a real world problem that uses the expression
Answers
Hi, I'm happy to help!
First, we need to use two variables. Let's use x and y for this example.
Let's use a Multiplication and Addition operation for our word problem.
Our expression can be something like this.
3x+y
Now, we form this into a word problem.
Joe and Jim are cousins. They are trying to see who can find the most apples. Joe picks x apples. Jim picks 3 times as many as Joe, and picks y extra. How many apples did Jim pick? Write and solve an expression representing the situation. x=10 and y=3
Here's how you would solve:
3x+y
(3×10)+3
30+3
33
Joe picked 33 apples.
I hope this was helpful, keep learning! :D
An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.
How much paint is in each part?
Answers
Answer:
0.575 ounce
Step-by-step explanation:
Total paint
= Green paint + white paint
= 1.6 ounces + 1.85 ounces
= 3.45 ounces
Paint in each part if divided into 6 parts equally
= 3.45 ounces/6
= 345 ounces/600
= 23/40
= 0.575 ounce
The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Amount of green paint = 1.6 ounces
Amount of white paint = 1.85 ounces
Total paint = 1.6 + 1.85 = 3.45
The ratio of green paint to total paint = 1.6/3.45 = 0.46
Now, this ratio must be maintained in each part after dividing it into 6 equal parts.
Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58
With the same ratio,
Green paint / Total paint = 0.46
Green paint / 0.58 = 0.46
Green paint = 0.27 ounces
White paint = total paint - green paint
White paint = 0.58 - 0.27 = 0.31 ounces
Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
please help! ill give brainlyest! solve the absolute value equation
Answers
Answer:
x = [tex]\frac{40}{9}[/tex] , x = - [tex]\frac{56}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] | [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | - 1 = 1 ( add 1 to both sides )
[tex]\frac{1}{2}[/tex] | [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | = 2 ( divide both sides by [tex]\frac{1}{2}[/tex] )
| [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | = 4
The absolute value always gives a positive result, however, the expression inside can be positive or negative, then
[tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] = 4 ( multiply through by 12 to clear the fractions )
9x + 8 = 48 ( subtract 8 from both sides )
9x = 40 ( divide both sides by 9 )
x = [tex]\frac{40}{9}[/tex]
-------------------------------------------------------
OR
- ([tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] ) = 4 , distribute left side
- [tex]\frac{3}{4}[/tex] x - [tex]\frac{2}{3}[/tex] = 4 ( multiply through by 12 to clear the fractions )
- 9x - 8 = 48 ( add 8 to both sides )
- 9x = 56 ( divide both sides by - 9 )
x = [tex]\frac{56}{-9}[/tex] = - [tex]\frac{56}{9}[/tex]
丨3/4x＋2/3丨－2＝2
丨3/4x＋2/3丨＝2＋2
丨3/4x＋2/3丨＝4
3/4x＋2/3＝4
3/4x＋2/3＝－4
x＝40/9
x＝－56/9
Hope my answer helped u :)
Si un cerdo pesa 20.000 gramos y el ternero pesa 550 decagramos. ¿Cuál es su medida en kilogramos y cuál será el más pesado de los dos?
Answers
Answer:
Step-by-step explanation: yo también quiero la misma respuesta
At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?
Answers
Answer:
6 1/2
Step-by-step explanation:
because we know that for 150 students ther are meals for five days right? now their are only a hundred students and 150 meals, we know that 50+50=100 right? so if we have 100 meals for all of the students that will be enough for 5 days but 50 more meals would mean 6 1/2 days cuss only half of the students will have a meal, their would only be 50 meals for 50 students
is -6.146 contued a rational or irrational
explian pls
Answers
Step-by-step explanation:
cannot be written as a fraction so its irrational
eighteen divided by the sum of two and seven
Answers
Answer:
2
Step-by-step explanation:
18/(2+7)=18/9=2
18/2+7
18/9
2
4
Select the correct answer.
Identify the system of linear equations from the tables of values given below.
х
у
х
у
.
0
2
0
1
-4
0
-2
0
6
5
-4
-1
-6
-1
2.
2.
Answers
Answer:
x 3:7 y 5:9 :)
Step-by-step explanation:
ok this is the last one i swear , i’m so bad at finding mistakes
Answers
Answer:
there is no mistake
Step-by-step explanation:
this seems weird ik but i dont think there is even a mistake? the answer is definitely -7/2 or -3.5
Cho m là tham số. Tìm điều kiện của m để phương trình x^2+2(m+1)+m+3=0 có nghiệm kép
Answers
Answer:
1234 Get On The Dance Floor
[tex]\sqrt{x} =4[/tex]
Answers
as the square root of 16 = 4
Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
The given expression
va polynomial.
represents
does NOT
represent
attempt 1 out of 2 / problem 1 out of max 1
Answers
Answer:
Represents
Step-by-step explanation:
Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.
Caroline lowes her Dad $15.00. She earns
$18.00 doing chores. How much did Felicia receive after her
Dad took out what she owed him?
Answers
Answer:
-(6y + 2z) - 7z - (12z + 32y)
Step-by-step explanation:
9,875
Answer:
A,B,C
Step-by-step explanation:
Hope this helps
BRAINLIEST
Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional development for the year were $3,500. Which of the following represents his total employment compensation?
a.
$46,650
b.
$47,650
c.
$50,150
d.
$53,650
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
D. 53,650
50,150+3,500=53,650
[tex]\frac{-3+-6}{3}[/tex]
whats the answer to that?
Answers
Answer:
-3
Step-by-step explanation:
A postive and a negative becomes a negative.
So -3 + - 6 becomes
-3 - 6
= -9
The -9 is over 3, which is 9/3 negated, so 3 negated which is -3.
vẽ tam giác ABC biết BC=3cm góc A=35 độ góc B=65 độ
Answers
vẽ tam giác ABC biết BC=3cm góc A=35 độ góc B=65 độ
Solve each for X. Show your work
1). 1/2x - 1/4 = 3/5x + 2
2). 10-1/2x = 6 + 3x
Answers
Answer:
1). [tex]x = \frac{8}{7} [/tex]
2). [tex]x = - \frac{45}{2} [/tex]
Step-by-step explanation:
1) [tex]10 - \frac{1}{2} x = 6 + 3x[/tex]
[tex]20 - x = 12 + 6x[/tex]
[tex]20 - x - 6x = 12 + 6x - 6x[/tex]
[tex]20 - x - 6x = 12[/tex]
[tex] - x - 6x = 12 - 20[/tex]
[tex] - 7x = 12 - 20[/tex]
[tex] - 7x = - 8[/tex]
[tex]x = \frac{8}{7} [/tex]
•■•■•■•■•■•■•■•■•
2) [tex]x = - \frac{45}{2} [/tex]
[tex] \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2[/tex]
[tex]20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)[/tex]
[tex]20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)[/tex]
[tex]10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 40[/tex]
[tex]10x - 5 - 12x = 40[/tex]
[tex]10x - 12x = 40 + 5[/tex]
[tex] - 2x = 40 - 5[/tex]
[tex] - 2x = 45[/tex]
[tex]x = - \frac{45}{2} [/tex]
a formula for the area of a square is A=s2. Find A when s= 15cm.
Answers
Answer:
225
Step-by-step explanation:
15^2 = 15 * 15 = 225
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A shopkeepers bought 500 glass tumblers at rs 40 each . 20 glass tumblers were broken and he sold the rest at rs 45 each. Find his profit or loss percent
if you will solve this questions in copy and send me pictures of the answer then it will be very helpful for me please
Answers
500 at 40 each = £20000
To make a profit he needs to make more than £20000
20 broke so he sold 500-20 = 480 at 45 each.
480 x 45 = 21600
Profit = 21600 -20000 = 1600
His profit was £1,600
I need help ASAP IM IN SCHOOL!!!
Answers
Answer:
-4, -9/4, 1/2, sqrt5, 3.7
Find the coordinates of the midpoint of the segment given it’s endpoints (-3,-7) and (3,-5)
Answers
Answer:
(0, - 6 )
Step-by-step explanation:
The midpoint is the average of the x- coordinates and y- coordinates, that is
midpoint = ( [tex]\frac{-3+3}{2}[/tex] , [tex]\frac{-7-5}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex], [tex]\frac{-12}{2}[/tex] ) = (0, - 6 )
Write √ 3 x √ 6 in the form b √2 where b is an integer.
Answers
Answer:
Step-by-step explanation:
The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)
sqrt(3)* sqrt(6)
sqrt(6) can be broken up into sqrt(2*3) which equals sqrt(2)*sqrt(3)
sqrt(3)*sqrt(2)(sqrt(3)
sqrt(3)*sqrt(3)*sqrt(2)
3*sqrt(2)
A number is divided by 2, and then the quotient is increased by 8. The result is 33.
Answers
Answer:
33
Step-by-step explanation:
please let me know if I’m correct
hope this helps
what is trigonometry???????
Answers
Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
Answer:
trigonometry is the branch of mathematics that studies the relationship between angles and sides of a triangle.
Can someone help me with my homework I don’t understand it
Answers
Answer:
1 : 14
hard to see image (try using screen shots)
but.... 2 inches to 4 feet would be
2 : 48 which is
1 : 14
Step-by-step explanation:
The sum of three numbers is 124. The second is 10 less than the first. The third number is 4 times the second. What are the numbers?
Answers
Step-by-step explanation:
numbers
first = X
second = (x-10)
Third = 4(x-10)
x + (x-10) + 4(x-10) = 124
2x -10 + 4x-40 =124
6x - 50 = 124
6x = 124 + 50
6x = 174
x= 29
therefore the ;
first number = 29
second = (x-10) = 29-10 = 19
third= 4(x-10) = 4(29-10)= 76
2 [3 (7-5) + 4 (8 + 2)]
Answers
Answer:
92
Step-by-step explanation:
2 [3 (7-5) + 4 (8 + 2)]
= 2 [3 × 2 + 4 × 10)]
= 2 [ 6 + 40 ]
= 2 × 46
= 92