Question

The equation for line j can be written as y=
1
2
x–4. Parallel to line j is line k, which passes through the point (
–
8,
–
5). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answer 1

The slope of line j is 1/2, so line k has the same slope. Using point-slope with (−8, −5):

y + 5 = (1/2)(x + 8)
y + 5 = (1/2)x + 4
y = (1/2)x − 1

So the equation of line k is y = 1/2 x − 1.