Question

Line s has an equation of y=
–
7
4
x+2. Line t is parallel to line s and passes through (6,
–
7). What is the equation of line t?
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 line s is -7/4, so line t has the same slope. Use point-slope with (6,-7):

y + 7 = -7/4 (x - 6)
y = -7/4 x + 21/2 - 7
y = -7/4 x + 7/2

So the equation is y = -7/4 x + 7/2.