Question

The equation of line p is y+7= – 1/2 (x–5). Line q is parallel to line p and passes through (4,8). 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

y = -1/2 x + 10.

Explanation:

The line q has the same slope (-1/2) as line p as the 2 lines are parallel.

Equation of the line q:

y - 8 = -1/2(x - 4)

y - 8 = -1/2x + 2

y = -1/2 x + 2 + 8

y = -1/2 x + 10.