Determine the coordinates of the y-intercept of the function shown in the graph.

(-6, 0)

(-2, 0)

(0, -2)

(0, -6)

First let’s find the slope of the line given.
m=y2-y1/x2-x1
m=6-3/-4-(-3)= -3
Now y=mx+b is equation of a line. We just found m so let’s plug in two points from the graph for our (x,y) values

6=-3(-4)+b
Therefore b = -6. So our line equation is y=-3x-6

So now we can find the coordinate point for the y-intercept which is (0,-6)

Hope this helps explain the concept! Any questions please ask