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=-(1)/(2) \end{gathered}`

Using the point-slope equation:

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