Question

Identify the slope and y-intercept for both graphs, if possible, and write the equation of the graph. Please solve both A and B.

Answer 1

A:

$\begin{gathered} \text{let:} \\ (x1,y1)=(0,1) \\ (x2,y2)=(5,-3) \\ \text{slope}=m=\frac{-3-1}{5-0}=\frac{-4}{5} \end{gathered}$

Using the point slope equation:

$\begin{gathered} y-y1=m(x-x1) \\ y-1=-\frac{4}{5}(x-0) \\ y=-\frac{4}{5}x+1 \end{gathered}$

B.

the slope is not defined, since it is a vertical line, in this case it is the line:

$x=-2$