Write an equation passing through the point and parallel to the given line:

Question

Write an equation passing through the point and parallel to the given line:

(4, 7); y = 3x + 6

Answer 1

Parallel lines have the same slope, so the parallel line ALSO has slope M=3.

y = mx + b

7 = (3)(4) + b

7 = 12 + b

b = -5

The equation is y = 3x - 5