Rei S.

asked • 05/06/21

Find the equation of the line perpendicular to the line y = 5x + 8 and having the y-intercept 3.

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)


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