(06.02 mc) 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). (5 points) y = 2x − 4 y = 2x + 2 y = negative 1 over 2 x − 4 y = negative 1 over 2 x + 2

The line equation that we want to find is:

y = 2*x + 2

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that two lines are parallel if the lines have the same slope but different y-intercept.

So if we want our line to be parallel to EF, we must have something like:

y = 2*x + c

To find the value of c, we use the fact that our line contains the point (0, 2), then we have:

2 = 2*0 + c

2 = c

So the line is:

y = 2*x + 2.

If you want to learn more about linear equations, you can read:

link

square root

step-by-step explanation: