Question

Write the slope-intercept equation for the line that passes through (-5, 10) and (-4,3)

Answer 1

slope is
\[\frac{y_2-y_1}{x_2-x_1}=\frac{3-10}{-4+5}=-7\]

Answer 2

then use
\[y-y_1=m(x-x_1)\] with
\[m=-7,x_1=-5,y_1=10\] so get
\[y-10=-7(x+5)\]
\[y-10=-7x-35\]
\[y=-7x-25\]