Question

Write an equation in slope-intercept form of the line that passes through the given point and is

parallel to the graph of the given equation.
(-1,6); y = 9x - 5

Answer 1

y = 9x - 15

Explanation:

The given y = 9x - 5 is already in slope-intercept form. Any line parallel to this one has an equation that looks exactly the same except for the constant term. Call the new constant term 'C.'

Start with y = 9x - 5 and substitute the coordinates of the given point (-1, 6):

6 = 9(-1) + C, or

6 + 9 = C, or

C = 15

Then the equation of the line that passes through (-1, 6) and is parallel to y = 9x - 5 is

y = 9x - 15