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

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

anonymous · Answer

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

solomonzelman · Answer

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

anonymous · Answer

is it 5/-3 ?

solomonzelman · Answer

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

solomonzelman · Answer

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.

anonymous · Answer

soo it would be C?

solomonzelman · Answer

Yes.

anonymous · Answer

thank you so much!!