Grade 9 Math: Slope from Two Points
Calculate the slope of a line given two points using the slope formula.
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Slope from Two Points
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Read each question carefully and calculate the slope of the line passing through the given two points. Show your work where indicated.
1. Find the slope of the line that passes through the points (3, 5) and (7, 13).
2. What is the slope of the line passing through (-2, 6) and (4, -3)?
3. The formula for calculating slope (m) from two points (x₁, y₁) and (x₂, y₂) is m = .
4. A line with a positive slope rises from to .
5. Which of the following pairs of points would result in a slope of 1/2?
(1, 2) and (3, 4)
(2, 1) and (4, 2)
(0, 0) and (2, 1)
(5, 5) and (7, 6)
6. A horizontal line has an undefined slope.
True
False
7. The slope of a vertical line is zero.
True
False
8. Plot the points (1, 2) and (5, 4) on the coordinate plane below. Draw a line connecting them and then calculate the slope.
Show your calculation for the slope: