Question

Find the equation of the line perpendicular to the given line, through the given point x=-3; (1,8)

Answer 1

y = 8

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Explanation:

Step 1: Define

Identify

[Line] x = -3

Point (1, 8)

Step 2: Find Perpendicular Line

A vertical line's slope is undefined.

The negative reciprocal of an undefined slope is 0.

1. Define perpendicular slope: m = 0
2. Substitute in m [Slope-Intercept Form]: y = 0x + b
3. Simplify: y = b

Given point (1, 8), our y-value is equal to 8.

∴ the perpendicular line is y = 8.