Identify the pair of equations that are perpendicular y=-x+2 , y=(2/3)x +2 , y= (2/3)x-5 , y=x-6 , y=(-2/3)x-7

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

For two perpendicular lines, the product of the slope is -1. For the equations of the lines given in the slope-intercept form:

y=-x+2 : slope = -1

y=(2/3)x +2 : slope = 2/3

y= (2/3)x-5 : slope = 2/3

y= x-6 : slope = 1

y= (-2/3)x-7 : slope = -2/3

Only for -1*1 is the product equal to -1.

The lines y=-x+2 and y = x - 6 are perpendicular to each other.

We’ve answered 318,916 questions. We can answer yours, too.

Ask a question