Question

Line p has an equation of y=
–
8x+6. Line q, which is perpendicular to line p, includes the point (2,
–
2). What is the equation of line q?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer 1

Slope of p is -8, so the perpendicular slope is 1/8. Use point (2,-2):

-2 = (1/8)(2) + b = 1/4 + b, so b = -2 - 1/4 = -9/4.

Thus the equation is y = (1/8)x - 9/4.