Question

Write the slope-intercept equation for the line that passes through (-4, 6) and (2, -6). Please show all of your work.

Answer 1

first find the slope via
\[m=\frac{y_2-y_1}{x_2-x_1}=\frac{6+6}{-4-2}=\frac{12}{-6}=-2\]

Answer 2

then use almighty point slope formula
\[y-y_1=m(x-x_1)\]
\[y-6=-2(x+4)\]
\[y-6=-2x-8\]
\[y=-2x-2\]