Grade 10 Linear Functions Worksheet
This worksheet covers key concepts of linear functions for Grade 10 students, including graphing, slope, intercepts, and writing equations.
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Grade 10 Linear Functions
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following equations represents a linear function?
y = x² + 3
y = 2x - 5
y = |x| + 1
y = 1/x
2. What is the slope of the line that passes through the points (2, 3) and (4, 7)?
1
2
3
4
3. The equation of a line in slope-intercept form is y = mx + b, where 'm' represents the and 'b' represents the .
4. A horizontal line has a slope of , and a vertical line has an slope.
5. Graph the linear function y = (1/2)x + 1 on the coordinate plane below. Clearly label at least two points on the line.
6. Write the equation of a line that passes through the point (1, 5) and has a slope of -3.
7. The y-intercept of the line y = 3x - 4 is (0, 4).
True
False
8. Parallel lines have the same slope.
True
False
Match each term with its definition.
9. Slope
a. The point where a line crosses the y-axis.
10. Y-intercept
b. The steepness of a line.
11. Linear Function
c. A function whose graph is a straight line.