Write an equation of the line that passes through (−1,3) and is parallel to the line y=2x+2 .

Question

For my intermediate algebra class.

Answer 1

Slope intercept form: the equation for a line is y = mx + b, where m = slope and b is the y-intercept.

Parallel lines have the same slope. You are given y = 2x + 2, the slope of this line is 2. So the slope of the unknown line is also 2.

You are also given a point on the unknown line, (-1,3).

Solve for the unknown line by using m = 2, x = -1 and y = 3

y = mx + b

y = 2x + b

3 = 2(-1) + b

3 = -2 + b

5 = b

Final equation is y = 2x + 5

You can also solve it in fewer steps using the point slope form: (y - y₁₎ = m(x - x₁) or (y -3) = 2(x - -1)