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=(y2-y1)/(x2-x1)=(0-5)/(0-(-4))=(-5)/(4)=-(5)/(4)`

Using the point-slope equation:

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