Graphing Slope Worksheet
A Grade 10 math worksheet focusing on understanding and graphing the slope of a line.
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Graphing Slope Worksheet
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Read each question carefully and provide clear, concise answers. Show all your work for full credit.
1. The slope of a line is defined as the change in the y-coordinates divided by the change in the x-coordinates, also known as "rise over ."
2. A horizontal line has a slope of .
3. A vertical line has an slope.
4. Which of the following lines has a positive slope?
A line going downwards from left to right
A horizontal line
A line going upwards from left to right
A vertical line
5. What is the slope of the line passing through the points (2, 3) and (4, 7)?
1/2
2
-2
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6. Graph the line that passes through the point (1, 2) and has a slope of 3. Clearly label at least two points on the line.
7. Consider the line represented by the equation y = -2x + 5. What is the slope of this line and what does it indicate about the line's direction?
8. Draw a line with a slope of -1/2 that passes through the origin (0,0).
9. Parallel lines have the same slope.
True
False
10. Perpendicular lines have slopes that are negative reciprocals of each other.
True
False
11. A ramp rises 3 feet for every 12 feet of horizontal distance. What is the slope of the ramp?
12. If a line has a slope of -4 and passes through the point (2, -1), what is the equation of the line in slope-intercept form (y = mx + b)?