Question

What is the equation of the line that passes through the point (4, -7) and has aslope of -1/2?

Answer 1

Let:

$\begin{gathered} (x1,y1)=(4,-7) \\ m=slope=-\frac{1}{2} \end{gathered}$

Using the point-slope equation:

$\begin{gathered} y-y1=m(x-x1) \\ y-(-7)=-\frac{1}{2}(x-4) \\ y+7=-\frac{1}{2}x+2 \\ y=-\frac{1}{2}x-5 \end{gathered}$