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 ?

we know that

if two lines are parallel, then their slope are the same

Step 1

Find the slope of the given line AB

the slope of the line is equal to

we have

substitute the values

Step 2

Find the equation of the line that passes through the origin and is parallel to AB

we know that

If the line passes through the origin represent a direct variation and it can be expressed in the form or

In this case the constant of proportionality is equal to the slope

The equation is equal to

therefore

the answer is

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

1

step-by-step explanation:

it's the only multiple of both and the least