Question

what is the equation of a line that passes through the point (-3,1) and is parallel to a line with a slope of 2?

Answer 1

The answer is y=2x+7

Since the line is parallel to a line that has a slope of 2, the slope of the line is also 2. Since parallel lines have the same slope.

To find the y-intercept, you have to substitute the point into the slope intercept form.

y=mx+b

(-3,1)

1=2(-3)+b

1=-6+b

Add 6 to both sides

7=b

Answer 2

Explanation:

y - 1 = 2(x + 3)

y - 1 = 2x + 6

y = 2x + 7