Answer:
The equation of required line is y=2x+2.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] .... (1)
Where, m is slope and b is y-intercept.
The equation of given line EF is
[tex]y=2x+1[/tex] .... (2)
From (1) and (2), we get
[tex]m=2,b=1[/tex]
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.
[tex]y=2x+2[/tex]
Therefore the equation of required line is y=2x+2.
