Question

Write the equation of a line parallel to the line y = 3x+5 and passes through the point (-7, 2)

Answer 1

y=3x+23

Explanation:

Parallel lines have the same slope, so we basically keep the same equation, but we find the new y-intercept so it accounts for (-7,2):

y = 3x + b

2 = 3(-7) + b

2 = -21 + b

23 = b

Therefore, your equation would be y=3x+23