Question

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)

Answer 1

Answer:

y=2x+2

Step-by-step explanation:

Remember that parallel lines have equal slopes. We can solve this using point slope form which is $y-y_{1}=m(x-x_{1} )$

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