Grade 10 Math: Linear Relationships
This worksheet covers key concepts in linear relationships including slope, intercepts, graphing, and writing equations of lines.
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Grade 10 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 all your work for full credit.
1. What is the slope of the line that passes through the points (2, 5) and (6, 13)?
1/2
2
-2
-1/2
2. Which of the following equations represents a linear relationship?
y = x² + 3
y = 2x - 5
y = |x| - 1
y = √x + 4
1. The of a line is a measure of its steepness.
2. The point where a line crosses the y-axis is called the .
3. The equation y = mx + b is in - form.
1. Graph the line represented by the equation y = 2x - 3.
2. Write the equation of a line with a slope of -3 and a y-intercept of 4.
3. Determine the x-intercept and y-intercept of the equation 3x + 2y = 12.
1. A horizontal line has an undefined slope.
True
False
2. Parallel lines have the same slope.
True
False
Match each term on the left with its definition on the right.
1. Slope
a. The point where a line crosses the x-axis
2. Y-intercept
b. The ratio of the vertical change to the horizontal change
3. X-intercept
c. The point where a line crosses the y-axis
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