Question

The equation for line p can be written as y=
–
5
4
x–6. Line q includes the point (5,
–
8) and is parallel to line p. 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

Line p has slope -5/4, so line q has the same slope. Use y = mx + b with (5, -8):

-8 = (-5/4)(5) + b = -25/4 + b
b = -8 + 25/4 = -32/4 + 25/4 = -7/4

Thus the equation is y = -5/4 x - 7/4.