Rei S.
asked • 05/06/21Find the equation of the line perpendicular to the line y = 5x + 8 and having the y-intercept 3.
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1 Expert Answer
Bradford T. answered • 05/06/21
Tutor
4.9
(29)
Retired Engineer / Upper level math instructor
If the slope of the first line is m1=5, then the slope of the perpendicular line is m2=-1/m1 = -1/5.
The equation for the perpendicular line is
y = m2x + y-intercept
y = -x/5 + 3
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Murray B.
A line perpendicular to another has a slope that is a negative reciprocal of the other. Remember y = Mx + b, where m is the slope and b is the y-intercept. So, the slope of the given line is 5. Therefore the negative reciprocal is: -1/5. We are already given the y-intercept of the new line, so the equation of the line is: y = -x/5 + 3. (You don’t need the 1 since we already know there is one -x)05/10/21