Answer
The equation of the line is
x = -8
x + 8 = 0
Explanation
The general form of the equation in point-slope form is
y - y₁ = m (x - x₁)
where
y = y-coordinate of a point on the line.
y₁ = This refers to the y-coordinate of a given point on the line
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
x₁ = x-coordinate of the given point on the line
We have been told that the slope of this line is undefined, that is
m = ∞
And
(1/m) = (1/∞) = 0
(x₁, y₁) = (-8, 3)
x₁ = -8
y₁ = 3
y - y₁ = m (x - x₁)
y - 3 = ∞ (x - -8)
y - 3 = ∞ (x + 8)
[tex]\begin{gathered} y-3=\infty(x+8) \\ \text{Divide both sides by }\infty \\ \frac{y-3}{\infty}=\frac{\infty(x+8)}{\infty} \\ 0=x+8 \end{gathered}[/tex]x + 8 = 0
x = -8
Hope this Helps!!!
