Question

How do I solve this? I found the slope to be -4 and came up with the answer y=-4x-9

Answer 1

Explanation

We are asked to find the equation of the line in point-slope form

We will make use if the equation

$y-y_1=m(x-x_1)$

From the graph, we have the points:

$(0,-1)\text{ and\lparen1,5\rparen}$

Our first step will be to get the slope

$slope=\frac{5-(-1)}{1-0}=\frac{6}{1}=6$

Also

$\begin{gathered} x_1=0 \\ y_1-1 \end{gathered}$

Thus, we will have the point-slope form as

$\begin{gathered} y-(-1)=6(x-0) \\ \end{gathered}$