Answer:
y = 7x - 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 = 7x - 8 ← is in slope- intercept form
with slope m = 7
Parallel lines have equal slopes, thus
y = 7x + c ← is the partial equation
To find c substitute (5, 22) into the partial equation
22 = 35 + c ⇒ c = 22 - 35 = - 13
y = 7x - 13 ← equation of parallel line
