Related questions with answers

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Question

A student says the equation of a line perpendicular to
$y=\frac{12}{13} x+\frac{47}{13}$
is
$y=\frac{13}{12} x+\frac{47}{13}$
. Explain the student's error.

Solution

Verified

Step 1

1 of 2

The student's error in the given equation that is perpendicular to the first equation is that the slope is just a reciprocal. In determining the equation perpendicular to the given equation of a line, the slope to be used should be negative reciprocal. It should be $-\dfrac{13}{12}$ .