What is the equation of the line that is parallel to the given line and has an x-intercept of –3?

y = x + 3
y = x + 2
y = x + 3
y = –x + 2

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y = mx+b           .....[1]

where

m is the slope of the line and

b is the y-intercept

Formula for slope:

For the graph we have;

Coordinates of the line are:

(3, 1) and (0, -1)

By slope formula we have;

It is also given that the x-intercept of line is, -3

⇒x-intercept = (-3, 0)

Substitute the given value in [1] we have;

Substitute the point (-3, 0) we have;

⇒

Add 2 to both sides we have;

b = 2

Then, our equation become:

with positive slope 2/3 and y-intercept is 2

Therefore, the equation of the line that is parallel to the given line and has an x-intercept of –3 is:

56

step-by-step explanation:

c: lkllmn.

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