What equations are perpendicular to the equation x=4y+12

Answer 1

Lines that are PERPENDICULAR to each other have slopes where the products of the slopes equals -1.

In other words, one slope is the NEGATIVE RECIPROCAL of the other slope.

First rewrite the equation of the line given to the form; y = mx + b, so...

x = 4y + 12;

4y = x - 12;

y = (x - 12)/4

y = (1/4)x - 3

The slope is 1/4...so the slope of a line PERPENDICULAR will be the NEGATIVE RECIPROCAL = -4

Because 1/4 x (-4) = -1

The equation of a line PERPENDICULAR to x = 4y +12 will be equations that have -4 as the value of m.

Hope this helps