Understanding Slope

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Show your work for each problem.

1.
What does slope measure?
1. a)The length of a line
2. b)The position of a line
3. c)The steepness of a line
4. d)The direction of a line
2.
In the slope formula , what goes in the numerator?
1. a)The horizontal change (run)
2. b)The x-coordinate
3. c)The y-intercept
4. d)The vertical change (rise)
3.
A line rises 6 units and runs 2 units. What is its slope?
4.
Find the slope of the line through and .
5.
Find the slope of the line through and .
6.
Find the slope of the line through and .
7.
A horizontal line has a slope of:
1. a)0
2. b)-1
3. c)Undefined
4. d)1
8.
A vertical line has a slope that is:
1. a)Undefined
2. b)Infinity
3. c)0
4. d)1
9.
Find the slope of the line through and .
10.
If a line goes downward from left to right, its slope is:
1. a)Negative
2. b)Positive
3. c)Undefined
4. d)Zero
11.
A road rises 150 meters over a horizontal distance of 2500 meters. What is the grade as a percentage?
12.
Find the slope of the line through and .
13.
The cost of a taxi ride is 5 euros for 0 km and 25 euros for 10 km. What is the rate in euros per km (the slope)?
14.
What is the slope of a line passing through and ? (Enter 'undefined' if applicable)
15.
A water tank is being filled. At 2 minutes, it has 15 liters. At 8 minutes, it has 45 liters. What is the filling rate (slope) in liters per minute?
16.
Which slope represents the steepest line?
1. a)
2. b)
3. c)
4. d)