Answer:
Step-by-step explanation:
The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:
4x - 18 = 0 and -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.
4x = 18 so
x = 9/2.
-2x = -k so
x = k/2. If the x-intercepts are the same value, then
[tex]\frac{9}{2}=\frac{k}{2}[/tex] so, obviously,
k = 9
