Question

Complete the equation of the line through (-10, 7) and (5,9).Use exact numbers.Y=? Slope intercept from two points

Answer 1

$\begin{gathered} x_1=-10,y_1=-7,x_2=-5,y_2=-9 \\ y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y+7=\frac{-9+7}{-5+10}(x+10) \\ y+7=-\frac{2}{5}(x+10) \\ 5y+35=-2x-20 \\ 5y=-2x-55 \\ y=-\frac{2}{5}x-11 \end{gathered}$