Question

Find the equation of the line that goes through (5,-1) and is parallel to a line with slope (1)/(7). Write your answer in standard form.

Answer 1

y = 1/7x - 12/7

Explanation:

standard form: y = mx + b

point-slope form: y - y1 = m(x - x1)

slope = m = 1/7

Use point-slope form and the point (5, -1) to find b (the y-intercept):

y - -1 = 1/7(x - 5)

y + 1 = 1/7x - 5/7

y = 1/7x - 5/7 - 1

y = 1/7x - 12/7