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

Question

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

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6 months 2021-08-14T15:24:42+00:00 1 Answers 3 views 0

y = 8

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Slope-Intercept Form: y = mx + b

• m – slope
• b – y-intercept

Step-by-step 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.