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

Find the slope that is perpendicular to the line x−5y=−10
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

ohhappyday890b
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: $m=-\frac{A}{B}$
Substituting gives the slope of the line in the problem as:
$m=-\frac{1}{-5}=\frac{1}{5}$
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:
${m}_{p}=-\frac{1}{m}$
Substituting the slope for the line in the problem gives:
${m}_{p}=\frac{-1}{\frac{1}{5}}=-5$