Grade 7 Math: Linear Relationships
This worksheet focuses on understanding and analyzing linear relationships, including identifying slope and y-intercept, interpreting graphs, and solving related problems.
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Grade 7 Math: Linear Relationships
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Date:
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Read each question carefully and answer to the best of your ability. Show your work where applicable.
1. Which of the following equations represents a linear relationship?
y = x² + 3
y = 2x - 5
y = |x| + 1
y = 1/x
2. What does the 'm' represent in the equation y = mx + b?
y-intercept
x-intercept
slope
constant
3. The point where a line crosses the y-axis is called the .
4. A linear relationship can be represented by a straight on a graph.
5. Describe the key characteristics of a linear relationship.
6. In a linear relationship, the rate of change is constant.
True
False
7. Graph the linear equation y = 2x - 1 on the coordinate plane below.
8. Look at the graph you drew for question 7. What is the slope of the line? What is the y-intercept?
Slope:
Y-intercept: