Question

Find the equation of a line that is parallel to the line y = 2x - 1 and passes through the

point (3, 7).

Answer 1

y = 2x + 1

Explanation:

Parallel lines have the same slope, so the new line also has a slope of 2.

I am going to use the point slope formula:

y - y1 = m(x - x1)

Put in the values:

y - 7 = 2(x - 3)

Use the distributive property:

y - 7 = 2x - 6

Add 7 to both sides.

y = 2x - 6 + 7

y = 2x + 1

Therefore, the equation of the new line is y = 2x + 1.