Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (2,5)?

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

By definition, if two lines are parallel then their slopes are equal.

Then, the requested line will have a slope equal to:

Thus, the line is of the form:

We substitute point and find "b":

Finally, the equation is:

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.