which equation represents the line that passes through the points (3, 7) and (-1, -1)?
Answers
points: (3, 7) and (-1, -1)
slope (m) :
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
========
[tex]\hookrightarrow \dfrac{-1-7}{-1-3}[/tex]
[tex]\hookrightarrow \dfrac{-8}{-4}[/tex]
[tex]\hookrightarrow 2[/tex]
Equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
==============
[tex]\rightarrow \sf y-7 = 2(x-3)[/tex]
[tex]\rightarrow \sf y = 2x-6+7[/tex]
[tex]\rightarrow \sf y = 2x+1[/tex]
Answer:
[tex]y = 2x- 1[/tex]
Step-by-step explanation:
To determine which equation passes through the points (3, 7) and (-1, -1), we need to determine the slope of the equation. Then, we shall use point slope form to determine the equation of the line.
Determining the slope of the line:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run} } =\dfrac{\text{y}_{2} - \text{y}_{1} }{\text{x}_{2} - \text{x}_{1} }[/tex]
Substituting the points in the slope formula:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
Simplifying the slope:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
[tex]\text{Slope} =\dfrac{-8}{-4 } = 2[/tex]
Determining the equation of the line:
We shall use point slope form to determine the equation of the line.
[tex]\text{Point slope form:} \ y - y_{1} = m(x- x_{1} )[/tex]
Substitute the slope and the coordinates of any two points stated above.
[tex]y -7= 2(x- 3 ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using the point (3,7)}][/tex]
Simplify the equation and organize it to slope intercept form:
[tex]y -7= 2x- 6[/tex]
[tex]y = 2x- 6 + 7[/tex]
[tex]y = 2x+ 1[/tex]
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Step-by-step explanation:
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Which situation below has the highest constant of
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A) 16 ounces of jasmine rice costs $4.80.
B) 32 ounces of white rice costs $6.40
C) 12 ounces of white rice costs $1.20.
D) 9 ounces of brown rice costs $1.80
Answers
Answer:
A) k = 0.3Step-by-step explanation:
Find the constant of proportionality k in each case and compare
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Answers
Answer:
C
Step-by-step explanation:
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Answers
Step-by-step explanation:
Graph to move right
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Answers
Hey there!
21 + 2x
= 21 + 2(-2)
= 21 - 4
= 17
Therefore, your answer is: 17
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
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Answers
Answer:
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__________________________________________________________
Questions?Ask in comments.
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Answers
Answer:
let's say the Missing number is called 'y'.
product means multiplication so
y x 5 = 8.
Hope this at least helps.
Step-by-step explanation:
y x 5 =8
5y = 8
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A. 3/4
B. 3/5
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Answers
Answer:
D. 3/9
Step-by-step explanation:
Attached below is a picture with each fraction illustrated.
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A. X+Y=
B. X+X+Y=
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Answers
Answer:
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D. 80
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Step-by-step explanation:
A.
x + y
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10
B.
x + x + y
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14 + 15
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Answers
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Answers
Answer:
I hope I answered your question!
Step-by-step explanation:
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Answers
Considering the differences in the budgeted and used amoints, it is found that the correct option is given by:
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Answers
Answer:
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Step-by-step explanation:
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have a nice day!
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Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
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Answers
Answer:
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Step-by-step explanation:
Using the formula
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∠DAB ≅ ∠CBA
AE ≅ BE
AC ≅ BD
AD ≅ AE
∠EAB ≅ ∠EBA
Answers
Answer:
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According to given details the triangles ADB and BCE are congruent as per HL congruence
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
Answer:
15,600
Step-by-step explanation:
Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan off in 3 years. what will her monthly payment be? a. $99.34 b. $105.32 c. $117.93 d. $156.60
Answers
Susan's monthly payment will be $117.93.
We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.
P=3500
r=30%
t=3
What is the amortization formula?[tex]A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}[/tex]
Where A is the payment,
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r =the annual interest rate
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use the given value in the formula we get
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A=117.9288
A= 117.93
Susan's monthly payment will be $117.93.
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Answer: C $117.93
Step-by-step explanation:
A spinner is divided into five colored sections that are not of equal size: red,
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results are recorded below:
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Color Frequency
7
16
Red
Blue
Green
Yellow
Purple
19
8
3
Based on these results, express the probability that the next spin will land on
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Answers
Answer:
15.09%
Step-by-step explanation:
Sum of frequencies = 53
Probability = 8
53
=0.1509
Expressing as a percentage
>> 15.09%
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Answers
Answer:
Step-by-step explanation:
(a)
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Answers
Answer:
Step-by-step explanation:
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Answer:
plan c. is the answer byebye
Which function in vertex form is equivalent to f(x) = x2 8 – 16x? f(x) = (x – 8)2 – 56 f(x) = (x – 4)2 0 f(x) = (x 8)2 – 72 f(x) = (x 4)2 – 32
Answers
The function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
Since it is specified that the options are in vertex form, so let we convert the given equation to vertex form.
The specified equation is: [tex]f(x) = x^2 + 8 - 16x[/tex]
Converting to vertex form:
[tex]f(x) = x^2 + 8 - 16x\\\\f(x) = x^2 -16x + 8\\[/tex]
(let we make terms such that it becomes (a+b)^2 's formula).
[tex]f(x) = x^2 -16x + 8\\f(x) = x^2 -2\times8x + (-8)^2 -(-8)^2 + 8\\f(x) = (x-8)^2 -64 + 8\\f(x) = (x-8)^2 -56[/tex]
Thus, the function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56
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Answer:
A
Step-by-step explanation: