Answer:
y = 2x - 9
Explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 1 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 1 ) into the partial equation
1 = 10 + c ⇒ c = 1 - 10 = - 9
y = 2x - 9 ← equation of parallel line