How do you make. Two linear equations that are perpendicular to each other

In order to make two linear equations perpendicular to each other, we need to find the negative reciprocal of the slope.

In finding the negative reciprocal, we create a perfect 90° angle with the lines.

Example:

Given y = 2x + 3, find the perpendicular line.

2 - > - 1/2

y = - 1/2x + 3

Find the negative reciprocal of one slope.

Example:

y=4x+12

the negative reciprocal of 4 is - 1/4

the perpendicular equation would be y = - 1/4+12