Key Features of Graphs
Explore and identify key features of various graphs, including intercepts, slope, and types of relationships, suitable for Grade 8 math students.
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Key Features of Graphs
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Read each question carefully and answer to the best of your ability. Show your work where applicable. For questions involving graphs, pay close attention to the axes, scales, and points.
1. What does the y-intercept of a graph represent?
The point where the graph crosses the x-axis
The point where the graph crosses the y-axis
The highest point on the graph
The lowest point on the graph
2. A positive slope indicates which type of relationship between variables?
Inverse relationship
Direct relationship
No relationship
Exponential relationship
3. The is the steepness of a line on a graph.
4. A horizontal line on a distance-time graph indicates that the object is .
5. Describe how to find the x-intercept of a graph.
6. Explain the difference between a linear and a non-linear relationship on a graph.
7. Analyze the graph below and answer the questions that follow.
a. What is the distance traveled after 1 hour?
b. During which time interval was the object stationary?
c. What is the total distance traveled after 5 hours?
8. A vertical line has an undefined slope.
True
False
9. The origin of a coordinate plane is represented by the point (1,1).
True
False
Match each term on the left with its definition on the right.
10. Slope
a. The point where the graph crosses the x-axis.
11. X-intercept
b. The steepness of a line.
12. Y-intercept
c. The point where the graph crosses the y-axis.