Question

For what value of x will the line passing through the points A(x+14, 5) and B(2−3x, 8) be vertical?

Answer 1

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

$m=\frac{y2-y1}{x2-x1}$

we have

A(x+14, 5) and B(2−3x, 8)

substitute

$m=\frac{8-5}{(2-3x)-(x+14)}$

$m=\frac{3}{2-3x-x-14}$

$m=\frac{3}{-4x-12}$

so

If the slope is undefined

then

The denominator must be equal to zero

$-4x-12=0$

solve for x

$4x=-12\\x=-3$