1. write an equation in slope-intercept form of the line that passes through the given point and is parallel to
the graph of the given equation.
(2,-2) ; y=-x-2
y=-2х
y = 2х
y= 1/2x
y=-x

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have to, if two lines are parallel then their slopes are equal.

If we have with slope , then a parallel line will have slope

Thus, the equation of the parallel line is of the form:

We substitute the given point and find "b":

Finally, the equation is:

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

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