Answer:
y = 2x + 5
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 = 2x + 1 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + ← is the partial equation of the parallel line
To find c substitute (- 1, 3) into the partial equation
3 = - 2 + c ⇒ c = 3 + 2 = 5
y = 2x + 5 ← equation of parallel line
