Answer:
[tex]y+6=\frac{-8}{7} (x-7)[/tex]
Step-by-step explanation:
To find the slope of the equation use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
So, [tex]\frac{-6-2}{7-0}[/tex] = [tex]\frac{-8}{7}[/tex]. Now we can use our slope and any of the two points to write in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex]. Using the point (7,-6), the formula will give [tex]y+6=\frac{-8}{7} (x-7)[/tex].
To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.
