Problema Solution

Find an equation for the line perpendicular to

y = negative two fifths x+5

with​ y-intercept (0,−15).

Write the answer in​ slope-intercept form

Answer provided by our tutors

y = (-2/5)x + 5

The slope of the perpendicular line is m = - 1/(-2/5) = 5/2. 

The y-intercept is b = -15.

The perpendicular equation in slope-intercept form is:

y = (5/2)x - 15

Indeed, if we draw the graphs of the two lines we see that they are really perpendicular:

click here to see the graph