Answer:
x = - 3
Step-by-step explanation:
using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (x, 4 ) and (x₂, y₂ ) = (- 3, 8 )
m = [tex]\frac{8-4}{-3-x}[/tex]
since m is undefined, then the denominator must be zero, since division by zero is undefined , then equating the denominator to zero
- 3 - x = 0 ( add 3 to both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
