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).

Answer 1

Answer:

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

Step-by-step explanation:

The slope intercept form of a line is

$y=mx+b$        .... (1)

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

The equation of given line EF is

$y=2x+1$       .... (2)

From (1) and (2), we get

$m=2,b=1$

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.

$y=2x+2$

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

Answer 2

The answer is y = 2x+2