The equation of line ef is y=2x+1. which an equation of a line parallel to line ef in slope-intercept form that contains point (0,2)

y=2x+2

Step-by-step explanation:

Remember that parallel lines have equal slopes. We can solve this using point slope form which is

Plug in the point (0,2) into the equation:

y-2=m(x-0)

Also plug in the slope which is the same as line EF (m=2)

y-2=2(x-0)

Simplify:

y-2=2x

Add 2 to both sides:

y=2x+2