Question

The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, 2).
Select one:
a. y = -2x - 4
b. y = 2x + 2
c. y = x - 4
d. y = x + 2

Answer 1

All right: remember one thing. Parallel lines have the same slope. Do you know what the slope here is?

Answer 2

Isn't it 2?

Answer 3

Yup, so the parallel line that is parallel to \(y = 2x + 1\) will have the slope \(2\). So it would be in the form \(y = 2x + k\), where \(k\) is some constant term. Our job now is to find the constant term.

Answer 4

Do you get it till here?

Answer 5

Yeah I understand that

Answer 6

Now, you are given that this line passes through \((0,2)\). This means that \(x = 0\) and \(y = 2 \) is a solution. So, can you find \(k\) now?

Answer 7

Wouldn't the answer be B...?

Answer 8

Yeah!

Answer 9

Okay!!