Question

What is an equation of the line that passes through the point (-3, -2) and is parallel to the

line 2x - y = 2?

Answer 1

y = 2x + 4

Explanation:

Parallel lines have same gradient

2x - y = 2

Changing to slope form is y = 2x - 2

the slope is 2, therefore, the line parallel has also a slope of 2

Point (-3,-2) and slope of 2

plug in to y = mx + b to find b

-2 = 2(-3) + b

-2 = -6 + b

-2 + 6 = b

b = 4

The equation of the line parallel to 2x - y = 2 is

y = 2x + 4