Perpendicular line equation

Question

Find an equation for the line perpendicular to y=-1/5x+7 with x-intercept at x=-6. Write your answer in the form y=mx+b

Answer 1

Ooooh these are tricky!

Remember that perpendicular lines have opposite, reciprocal slopes and that y = 0 along the x-axis.

0 = 5(-6) + b

0 = -30 + b

b = 30

y = 5x + 30