Question

What is an equation of the line that passes through the point (−1,6) and is parallel to the line 2x+y=9

Answer 1

2x + y = 4

Explanation:

2x + y = 9 => y = -2x + 9

Parallel lines have the same slope so m = -2

Given (-1,6)

y = mx + b

6 = -2(-1) + b

6 = 2 + b

b = 4

so y = -2x + 4 or 2x + y = 4