What is the equation of the line that is perpendicular to and has the same y intercept as the given line?

The original line looks like this:

y = - 1/5x + 1

To make it perpendicular, we have to change the slope to its reciprocal, which in this case, is positive 5.

y = 5x + 1

(0,1), (5,0)

slope = (0 - 1) / (5 - 0) = - 1/5

the y int (when x = 0) is 1

A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So we have a slope of - 1/5 ... we flip it and it becomes - 5/1 ... we change the sign and it is 5/1 or just 5.

and ur y int stays the same at 1

so ur perpendicular equation is : y = 5x + 1 <==