Interpreting Slope and Y-intercept
A Grade 9 math worksheet focusing on interpreting slope and y-intercept in linear equations and real-world scenarios.
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Standards
Topics
Interpreting Slope and Y-intercept
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. In the equation y = 3x - 5, what does the '3' represent?
The y-intercept
The x-intercept
The slope
The constant term
2. A linear function models the cost of a taxi ride, C(d) = 2.50d + 3.00, where 'd' is the distance in miles. What does the '3.00' represent?
Cost per mile
Total distance traveled
Initial fee (y-intercept)
Maximum cost
3. The slope of a line describes its or steepness.
4. The y-intercept is the point where the line crosses the -axis.
5. In a real-world context, the y-intercept often represents the value or starting amount.
6. 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 (h) after 'w' weeks. Identify the slope and y-intercept and explain what they mean in this context.
7. Consider the graph of a line that passes through the points (0, 4) and (2, 10).
a) What is the y-intercept?
b) Calculate the slope of the line.
8. A negative slope indicates that as the x-value increases, the y-value also increases.
True
False
9. The units of the slope are always the units of the y-axis divided by the units of the x-axis.
True
False
10. Graph the line y = -2x + 3 on the coordinate plane below. Then, identify the slope and y-intercept.
Slope:
Y-intercept: