4.
The points are:
(0,-5)
(-6,0)
Slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Basically change in y's divided by change in x's.
So, we have:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0--5}{-6-0} \\ m=\frac{5}{-6} \\ m=-\frac{5}{6} \end{gathered}[/tex]The y-intercept is -5
The equation of line is y = mx + b
Where m is slope and b is y-intercept.
Thus, we have:
[tex]y=-\frac{5}{6}x-5[/tex]The graph is:
