Find the slope that is perpendicular to the line x−5y=−10

pezgirl79u 2022-10-11 Answered
Find the slope that is perpendicular to the line x−5y=−10
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Answers (1)

ohhappyday890b
Answered 2022-10-12 Author has 12 answers
This equation is in Standard Linear Form. 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
1x−5y=−10
The slope of an equation in standard form is: m = - A B
Substituting gives the slope of the line in the problem as:
m = - 1 - 5 = 1 5
Let's call the slope of a perpendicular line: m p
The slope of a line perpendicular to a line with slope m is the negative inverse, or:
m p = - 1 m
Substituting the slope for the line in the problem gives:
m p = - 1 1 5 = - 5
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