Finding slope of descent

Question

Assignment:

Q1. Technology. Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.

												+y
												9
												8
												7
												6
												5
												4
									Q			3
												2
												1
	-x		-9	-8	-7	-6	-5	-4	-3	-2	-1	0	1	2	3	4	5	6	7	8	9		+x
												-1
												-2
												-3
												-4
												-5
												-6
												-7
												-8
												-9
												-y

Q2. Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4).

												+y
												9
												8
												7
												6
												5
												4
												3
												2
												1
	-x		-9	-8	-7	-6	-5	-4	-3	-2	-1	0	1	2	3	4	5	6	7	8	9		+x
												-1
												-2
												-3
												-4
												-5
												-6
												-7
												-8
												-9
												-y

Q3. Use the concept of slope to determine if the given figure is a parallelogram or a rectangle.

												+y
												9
												8
												7
												6
												5
												4
												3
												2
												1
	-x		-9	-8	-7	-6	-5	-4	-3	-2	-1	0	1	2	3	4	5	6	7	8	9		+x
												-1
												-2
												-3
												-4
												-5
												-6
												-7
												-8
												-9
												-y

Q4. Geometry. Floor plans for a building have the four corners of a room located at the points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is parallel to the side through the points (-3, 18) and (8, 21).

												+y
												9
												8
												7
												6
												5
												4
												3
												2
												1
	-x		-9	-8	-7	-6	-5	-4	-3	-2	-1	0	1	2	3	4	5	6	7	8	9		+x
												-1
												-2
												-3
												-4
												-5
												-6
												-7
												-8
												-9
												-y

Q5. Geometry. For the floor plans given in Q4, determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (_3, 18).

												+y
												9
												8
												7
												6
												5
												4
												3
												2
												1
	-x		-9	-8	-7	-6	-5	-4	-3	-2	-1	0	1	2	3	4	5	6	7	8	9		+x
												-1
												-2
												-3
												-4
												-5
												-6
												-7
												-8
												-9
												-y

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