Complete the equation of the line through (-9,7) and (-6,-3) y=mx+b format

Hello!

First of all if we want to find the equation of the line we will have to find the slope. To do so we will use the equation below.



The ones and twos next to the variables just represent that a number came from a certain ordered pair, so for example  and  were in their own ordered pair. We can switch the ones and twos and the slope will be the same.

We will have (-9,7) be (), and (-6,-3) be (). Now we will plug our numbers into the equation.



The slope of our line is 
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Now we need to solve for the y-intercept. To do so we will substitute a point from our line (-9,7) and solve for b.

7=(-9)+b
7=30+b
b=-23

Therefore, the equation for our line is y=x-23.

I hope this helps!