Find the equation of the line that passes through (-4,1) and is parallel to 1/2

y = 1/2 x + 3

Step-by-step explanation:

Since the lines are parallel, m1 = m2

y - y1 = m (x - x1)

Data obtained from the question include:

m = 1/2

x1 = - 4

y1 = 1

y - y1 = m (x - x1)

y - 1 = 1/2 (x - - 4)

y - 1 = 1/2 (x + 4)

y - 1 = 1/2x + 2

y = 1/2x + 2 + 1

y = 1/2 x + 3