Answer:
The correct answer is option e. 2
Explanation:
We are given the slope and the y-intercept of a line. With this, we can find the equation of the line in slope-intercept form.
The slope -intercept form of a line is:
[tex]y=mx+b[/tex]Where:
m = slope
b = y-intercept
Then, in this case:
m = 5
b = -12
The equation is:
[tex]y=6x-12[/tex]The x-intercept is the value of x when y = 0. Thus:
[tex]0=6x-12[/tex]And solve for x:
[tex]\begin{gathered} 0=6x-12 \\ 12=6x \\ . \\ x=\frac{12}{6} \\ . \\ x=2 \end{gathered}[/tex]