What is the equation of the line through the origin and (-4,-9)

y = 9/4x

Step-by-step explanation:

First we need to find the slope

m = (y2-y1) / (x2-x1)

= (-9-0) / (-4-0)

= - 9/-4

=9/4

We know the y intercept is 0 since it goes through the origin

We can use the slope intercept form of the equation

y = mx+b

y = 9/4 x + 0

y = 9/4x