Question

Write an equation for the line that passes through (-8,3) and whose slope is undefined. Give an answer in standard form. Write the equation in the standard form where all coefficients are expressed as relatively prime integers.

Answer 1

The equation of the line is

x = -8

x + 8 = 0

Step-by-step 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)

`\begin{gathered} y-3=\infty(x+8) \\ \text{Divide both sides by }\infty \\ (y-3)/(\infty)=(\infty(x+8))/(\infty) \\ 0=x+8 \end{gathered}`

x + 8 = 0

x = -8

Hope this Helps!!!