Interpreting Slope and Y-intercept
A Grade 8 math worksheet focusing on understanding and interpreting the slope and y-intercept of linear equations in various contexts.
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Interpreting Slope and Y-intercept
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Read each question carefully and provide the best answer. Show all your work for short answer questions.
1. In the equation y = 3x + 5, what does the '3' represent?
The y-intercept
The slope
The x-intercept
A constant
2. A taxi charges a flat fee of $2.00 plus $1.50 per mile. What does the $2.00 represent in the equation modeling the cost?
The rate per mile
The total cost
The y-intercept
The slope
3. The slope of a line represents the rate of .
4. The y-intercept is the point where the line crosses the -axis.
5. A plant grows at a rate of 2 cm per week and was 5 cm tall when first measured. Write a linear equation to represent the plant's height (y) after x weeks. Identify the slope and y-intercept and explain what they mean in this context.
6. A negative slope indicates that as the x-value increases, the y-value decreases.
True
False
7. The y-intercept is always (0, b) in the equation y = mx + b.
True
False
8. The graph below shows the distance a car traveled over time. Interpret the meaning of the slope and the y-intercept from the graph.