Grade 9 Math: Graphing Slope
This worksheet focuses on understanding and calculating the slope of a line from graphs and given points, including identifying positive, negative, zero, and undefined slopes.
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Standards
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Grade 9 Math: Graphing Slope
Name:
Date:
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Read each question carefully and follow the instructions. Show all your work for full credit.
1. Which of the following lines has a positive slope?
A horizontal line
A vertical line
A line going up from left to right
A line going down from left to right
2. What is the formula for calculating the slope of a line given two points (x1, y1) and (x2, y2)?
m = (x2 - x1) / (y2 - y1)
m = (y2 - y1) / (x2 - x1)
m = x / y
m = y / x
3. A line with a slope of zero is a line.
4. A vertical line has an slope.
5. The 'rise' in rise over run refers to the change in the coordinates.
6. Plot the points (1, 2) and (4, 8) on the graph below. Then, draw a line connecting them and calculate the slope of the line. Show your work.
Calculation:
7. For the line shown in the graph below, determine its slope. Show your work.
Slope Calculation:
8. A line with a negative slope goes downwards from left to right.
True
False
Match the type of line with its corresponding slope characteristic.
9. Horizontal Line
a. Undefined Slope
10. Vertical Line
b. Zero Slope
11. Line sloping up from left to right
c. Positive Slope
12. Line sloping down from left to right
d. Negative Slope
13. A line passes through the points (-2, 5) and (3, -5). What is the slope of this line? Show all your steps.
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