Find the slope that is perpendicular to the line 4x−3y=−24

Kwenze0l

Kwenze0l

Answered question

2022-09-09

Find the slope that is perpendicular to the line 4x−3y=−24

Answer & Explanation

Joaquin Cisneros

Joaquin Cisneros

Beginner2022-09-10Added 4 answers

This equation is in Standard Form for a linear equation. The standard form of a linear equation is: Ax+By=C
Where, if at all possible, A, B, and Care integers, and A is non-negative, and, A, B, and C have no common factors other than 1
The slope of an equation in standard form is: m = - A B
Our equation is: 4x−3y=−24
Therefore the slope of the line in the equation is:
m = - 4 - 3 = 4 3
Let's call the slope of a line perpendicular to the line in the problem:
m p
The formula for a perpendicular line is:
m p = - 1 m
Substituting the slope we calculated for m gives:
m p = - 1 4 3 = - 3 4

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