find the slope of the line that is perpendicular to 4x -5y =12

Question

find the slope of the line that is perpendicular to 4x-5y=12

Answer 1

first we will write the equation in slope intercept form

4x -5y = 12

 

5y =4x -12

 

y = (4/5) x -12/5

 

Slope of this line is 4/5

 

slope of perpendicular lines are always negative reciprocal of each other

so slope of perpendicular line is -5/4

Answer 2

Perpendicular lines have slopes that multiply to -1.

 

4x = 5y + 12

 

4x - 12 = 5y

 

y = (4/5)X - 12/5

 

 

The slope of the perpendicular line is -5/4