Answer:
x=-3
Step-by-step explanation:
we know that
The slope of a vertical line is undefined
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
A(x+14, 5) and B(2−3x, 8)
substitute
[tex]m=\frac{8-5}{(2-3x)-(x+14)}[/tex]
[tex]m=\frac{3}{2-3x-x-14}[/tex]
[tex]m=\frac{3}{-4x-12}[/tex]
so
If the slope is undefined
then
The denominator must be equal to zero
[tex]-4x-12=0[/tex]
solve for x
[tex]4x=-12\\x=-3[/tex]
