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:

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?