Answer:
y = - 7x - 3
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 + 2 ← 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, 32) into the partial equation
32 = 35 + c ⇒ c = 32 - 35 = - 3
y = - 7x - 3 ← equation of parallel line