Find the slope by taking the rise over run or the change in y over the change in x
8-4 = -4
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-6-7 =-1
slope =-4/-1 or 4
Slope intercept form of a line is y=mx + b where m is the slope and b is the y intercept
since we know the slope we can put that in
y=4x+b
We still don't know b. If we plot the points on a graph and use the slope to find additional points until we find the point at which the line crosses the y axis we will find our b value. The graph looks like this:
If you plot the points you will find that the y intercept is 32