Question

Instructions: Find the slope between the two points given. Then, use the slope and the first point to write the equation of the line in Point-Slope form. State the slope.

Answer 1

Let:

$\begin{gathered} (x1,y1)=(-4,5) \\ (x2,y2)=(0,0) \end{gathered}$

The slope is given by:

$slope=m=\frac{y2-y1}{x2-x1}=\frac{0-5}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}$

Using the point-slope equation:

$\begin{gathered} y-y1=m(x-x1) \\ Slope:-\frac{5}{4}=m \\ point:(-4,5)=(x1,y1) \\ so: \\ y-5=-\frac{5}{4}(x+4) \end{gathered}$