Question

AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to AB ?

A) 5x – 3y = 0
B) -x + 3y = 0
C) -5x – 3y = 0
D) 3x + 5y = 0
E) -3x + 5y = 0

Answer 1

@SolomonZelman can you please help me!!!(:

Answer 2

Okay, first you have to find the slope of the line that passes through (the given points) A and B.
Can you do that ?

Answer 3

is it 5/-3 ?

Answer 4

YES

\(\LARGE\color{blue}{ \rm \frac{(0)-(5)}{(-3)-(-6)}=\frac{0-5}{-3+6} =\frac{-5}{3} }\)

Answer 5

So, now we can say

\(\LARGE\color{blue}{ \rm y=-\frac{5}{3}~x~+b }\)

And when the line goes through the origin, the "b" (the y-intercept) is zero.

Answer 6

soo it would be C?

Answer 7

Yes.

Answer 8

thank you so much!!