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Musya8 [376]
3 years ago
13

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 poi

nt (0, 2).
Mathematics
2 answers:
Lady_Fox [76]3 years ago
5 0

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.

blsea [12.9K]3 years ago
4 0
The answer is y = 2x+2
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