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 steepness of a line
3. c)Where the line crosses the y-axis
4. d)The position of a line
2.
In the slope formula $m = \frac{\text{rise}}{\text{run}}$ , what goes in the numerator?
1. a)The vertical change (rise)
2. b)The x-coordinate
3. c)The y-intercept
4. d)The horizontal change (run)
3.
A line rises 6 units and runs 2 units. What is its slope?
4.
Find the slope of the line through $(1, 2)$ and $(3, 8)$ .
5.
Find the slope of the line through $(2, 5)$ and $(6, 13)$ .
6.
Find the slope of the line through $(3, 10)$ and $(7, 2)$ .
7.
A horizontal line has a slope of:
1. a)1
2. b)0
3. c)-1
4. d)Undefined
8.
The slope of a vertical line is:
1. a)Undefined
2. b)Infinity
3. c)0
4. d)1
9.
Find the slope of the line through $(-2, 3)$ and $(4, -9)$ .
10.
If a line goes downward from left to right, its slope is:
1. a)Positive
2. b)Zero
3. c)Negative
4. d)Undefined
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 $(-3, -5)$ and $(2, 10)$ .
13.
A taxi ride costs 5 dollars for 0 km (the starting fee) and 25 dollars for 10 km. What is the rate in dollars per km (the slope)?
14.
What is the slope of the line through $(4, 7)$ and $(4, 15)$ ?
1. a)-8
2. b)0
3. c)Undefined
4. d)8
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) $m = \frac{1}{2}$
2. b) $m = -3$
3. c) $m = 0$
4. d) $m = 5$