Write the slope intercept form of a line through (6, - 7) and parallel to y = x - 9

y = x - 13

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c (m is the slope and c the y - intercept)

y = x - 9 ← is in slope - intercept form

with slope m = 1

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of the parallel line

To find c substitute (6, - 7) into the partial equation

- 7 = 6 + c ⇒ c = - 7 - 6 = - 13

y = x - 13 ← equation of parallel line