Interpreting Slope and Y-intercept
A Grade 10 Math worksheet focusing on interpreting slope and y-intercept in linear equations and real-world scenarios.
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Interpreting Slope and Y-intercept
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Read each question carefully and answer to the best of your ability. 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 represents the cost of a taxi ride, C(d) = 2.50d + 3.00, where 'd' is the distance in miles. What does the y-intercept represent?
The cost per mile
The total distance traveled
The initial fee for the ride
The maximum cost of the ride
3. The slope of a line describes its or steepness.
4. When a line has a positive slope, it is from left to right.
5. The y-intercept is the point where the line crosses the .
6. A plant's height (in cm) over time (in weeks) is modeled by the equation H = 2.5t + 10. Explain what the slope and y-intercept mean in the context of this problem.
7. Consider the graph of a line that passes through the points (0, 7) and (4, 15). Determine the slope and y-intercept of this line.
8. A horizontal line has a slope of zero.
True
False
9. The y-intercept of the line y = -2x + 1 is (0, -2).
True
False
10. Plot the line y = -1/2x + 3 on the graph below. Then, identify the slope and y-intercept.
Slope:
Y-intercept: