Question

Find the value of x so the line that passes through the pair of points has the given slope.

(x, 4) (-3, 8), m = undefined

Answer 1

x = - 3

Explanation:

using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (x, 4 ) and (x₂, y₂ ) = (- 3, 8 )

m =
`(8-4)/(-3-x)`

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