Question

What is an equation of the line that passes through the point (4,−3) and is parallel to the line x-2y=2?

Answer 1

y = 1/2x - 5

or x - 2y = 10

Explanation:

x - 2y = 2

2y = x - 2

y = 1/2x - 1

If two lines are parallel, their slopes are equal

so m = 1/2, y = -3, x = 4

y = mx + b

-3 = 1/2(4) + b

-3 = 2 + b

b = -5

so y = 1/2x - 5

or 2y = x - 10

x - 2y = 10