5. Consider the line segment in the graph below. Part A: Draw a line segment parallel to AB passing through (-4,-1), that has the same length of AB. Name the line segment MY. Part B: Draw a line segment perpendicular to AB passing through (-3, 4) and intersecting both AB and MY. Name the line segment QU

See attached

Step-by-step explanation:

Both of the lines are drawn on the attached

A. .........................

Since lines AB and MY are parallel, and one of the points of parallel line is (-4, -1) the other point is going to have same difference of x and y-coordinates

Connecting this two points, we get a parallel line to AB

This is a blue line segment on the graph

B. .........................

Perpendicular lines have slopes of negative reciprocal

Considering this and one of the points of a perpendicular line of (-3, 4)

we can calculate the other point.

The other point will have coordinates:

and

So the line segment is QU with coordinates of (-3, 4) and (-1, -1)

This is red line segment on the graph

its a straight line parallel to the time axis