Question

Find the Point-Slope equation of the line containing the given point and having the given slope. (6, -2), m = -3

Answer 1

So we know that the Point-Slope equation is as follows:

$y- y_{1}=m(x- x_{1})$

where m is the slope, and $x_{1}$ and $y_{1}$ are the point. So let's plug those numbers in now:

$y-(-2)=-3(x-(6))$

**We need to make sure that we do these signs correctly. Remember that two negatives equal a positive. Let's simplify:

$y+2=-3(x-6)$

And this is now your equation in Point-Slope form!