Find the slope that is perpendicular to the line y=4x+5

Vrbljanovwu
2022-10-11
Answered

Find the slope that is perpendicular to the line y=4x+5

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Cameron Wallace

Answered 2022-10-12
Author has **8** answers

This equation is in slope-intercept form which is: y=mx+b

Where m is the slope and b is the y-intercept value.

Therefore we know the slope of this line is m=4

A line perpendicular to this line will have a slope (let's call it ${m}_{p}$) the negative inverse of the slope of the line given in the problem. Or ${m}_{p}}=-\frac{1}{{m}$

Substituting the slope we found above gives:

${m}_{p}}=-\frac{1}{{4}$

Where m is the slope and b is the y-intercept value.

Therefore we know the slope of this line is m=4

A line perpendicular to this line will have a slope (let's call it ${m}_{p}$) the negative inverse of the slope of the line given in the problem. Or ${m}_{p}}=-\frac{1}{{m}$

Substituting the slope we found above gives:

${m}_{p}}=-\frac{1}{{4}$

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