An equation of the line that passes through (3,7) and is parallel to y=2x+2

Answer 1

We know the slope of the new line is 2 because parallel lines have the same slope.

We are give a point on the new line, (3,7).

Use the Point-Slope form to find the new line with the given point.

(y - y₁) = m(x - x₁) where m = slope

(y - 7) = 2(x - 3) plug in m = 2, x₁ = 3 and y₁ = 7

y - 7 = 2x - 6

y = 2x + 1 this is the new equation