Practice computing slope as the change in y divided by the change in x using points, tables, graphs, and real-world situations.
Read each problem carefully. Show your work and write your answer as a fraction, whole number, decimal, or simplified rate when appropriate.
Finding slope from graphs, tables, and points
Math - Grade 6-8
- 1
Find the slope of the line that passes through the points (2, 3) and (6, 11).
- 2
Find the slope of the line that passes through the points (-1, 5) and (3, -7).
- 3
A line goes through (0, 2) and (4, 10). What is the slope of the line?
- 4
Use the table to find the slope. The x-values are 1, 2, 3, 4. The y-values are 4, 7, 10, 13.
- 5
Use the table to find the slope. The x-values are 0, 2, 4, 6. The y-values are 9, 5, 1, -3.
- 6
A hiker climbs from an elevation of 120 feet to 360 feet over a horizontal distance of 80 feet. What is the slope of the trail?
- 7
Find the slope of a horizontal line that passes through the points (-4, 6) and (5, 6).
- 8
Find the slope of a vertical line that passes through the points (3, -2) and (3, 8).
- 9
The slope of a line is 4. Starting at the point (1, 2), what could be another point on the line?
- 10
Find the slope of the line that passes through the points (8, 1) and (2, 4).
- 11
A plant grows from 6 inches tall to 18 inches tall in 4 weeks. What is the plant's average rate of growth in inches per week?
- 12
A line on a graph passes through (1, 9), (3, 5), and (5, 1). Find the slope and explain how you know the slope is constant.