Question

Complete the point-slope Equation Of the line through (-9,6) And (-7,-8)

Answer 1

You first need the slope.  Find it with the slope formula: $\frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }$.  With your values plugged in you'd have $\frac{-8-6}{-7-(-9)}$ which is -14/2 or -7.  Now use one of those points, whichever one you want (they will both give you the same result since they are both on the same line!), to rewrite the equation in point-slope form, which happens to be $y- y_{1} =m(x- x_{1} )$.  Ours would look like this, then: y-6= -7(x+9)