Equation of a line through a given point, parallel to a second line

Question

Find an equation of the line that passes through the point (−1, 6)

 and is parallel to the line passing through the points (−2, −3)

 and (2, 5).

 (Let x be the independent variable and y be the dependent variable.)

Answer 1

Parallel lines have the same slope. Find the slope of the second line.

m = (-3 - 5)/(-2 - 2) = -8/-4 = 2

y = mx + b = 2x + b

Use the given point (-1,6) to find b.

6 = 2(-1) + b

b = 8

y = 2x + 8