Question

What is the equation of the line that goes through (-3,-1) and (3,3)?
A. 3x + 2y = 15 B. 3y + 2x = 15 C. 3x − 2y = 3 D. 2x − 3y = -3

Answer 1

SOLUTION

TO DETERMINE

The equation of the line that goes through (-3,-1) and (3,3)

A. 3x + 2y = 15

B. 3y + 2x = 15

C. 3x − 2y = 3

D. 2x − 3y = - 3

EVALUATION

Here the given points are (-3,-1) and (3,3)

So the required equation of the line is obtained as below

$\displaystyle\sf{\frac{y - 3}{x - 3} = \frac{3 + 1}{3 + 3} }$

$\displaystyle\sf{ \implies \: \: \frac{y - 3}{x - 3} = \frac{4}{6} }$

$\displaystyle\sf{ \implies \: \: \frac{y - 3}{x - 3} = \frac{2}{3} }$

$\displaystyle\sf{ \implies \: 2x - 6 = 3y - 9}$

$\displaystyle\sf{ \implies \: 2x - 3y = - 3}$

FINAL ANSWER

Hence the correct option is D. 2x − 3y = - 3

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Answer 2

Answer:

The answer is D

Step-by-step explanation:

I got it correct on Edmentum ^w^