Answer:
y = 9x - 15
Step-by-step 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
