Find the slope that is perpendicular to the line 5x+2y=6

Martin Hart

Martin Hart

Answered question

2022-10-22

Find the slope that is perpendicular to the line 5x+2y=6

Answer & Explanation

zupa1z

zupa1z

Beginner2022-10-23Added 20 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
Therefore the slope of 5x+2y=6 is:
m = - 5 2
Let the slope of the perpendicular line be: m p
The formula for the slope of a perpendicular line is:
m p = - 1 m
Substituting gives:
m p = - 1 - 5 2 = 2 5

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