In this problem, we have a line:
• that passes through the point (-3, 0),
,• and has y-intercept b = 12.
The general slope-intercept equation of a line is:
[tex]y=m\cdot x+b.[/tex]Where m is the slope, and b is the y-intercept.
(1) Replacing the data from above in the general equation of the line, we have:
[tex]0=m\cdot(-3)+12.[/tex](2) Solving the last equation for m, we get:
[tex]\begin{gathered} 0=-3m+12, \\ 3m=12, \\ m=\frac{12}{3}=4. \end{gathered}[/tex]So the slope of the line is m = 4.
AnswerE. 4
