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: