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).

The equation of required line is y=2x+2.

Step-by-step explanation:

The slope intercept form of a line is

       .... (1)

Where, m is slope and b is y-intercept.

The equation of given line EF is

      .... (2)

From (1) and (2), we get

The slope of the line is 2 and y-intercept is 1.

The slope of parallel lines are same. So, the slope of required line is 2.

The line passes through the point (0,2). It means the y-intercept of the line is 2.

Substitute m=2 and b=2 in equation (1), to find the equation of required line.

Therefore the equation of required line is y=2x+2.