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Slope from Two Points Worksheet

This worksheet focuses on calculating the slope of a line given two points, covering various scenarios and applications suitable for Grade 12 mathematics.

Grade 12 Math AlgebraSlope from Two Points
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.B.6
7 sections · Free to use · Printable
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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 points. Show all your work.

1. Find the slope of the line that passes through the points (3, 7) and (5, 11).

2. Determine the slope of the line connecting the points (-2, 4) and (6, -2).

3. What is the slope of the line passing through the points (0, 0) and (-4, -8)?

4. Which of the following represents the slope of the line passing through (1, 5) and (4, 5)?

a

Undefined

b

0

c

1

d

2

5. What is the slope of a vertical line passing through (2, 3) and (2, 7)?

a

0

b

Undefined

c

1

d

4

6. The formula for calculating slope (m) given two points (x1, y1) and (x2, y2) is m =  .

7. A horizontal line has a slope of  .

8. A vertical line has an   slope.

9. Plot the points A(-3, 1) and B(5, 5) on the coordinate plane below. Then, calculate the slope of the line segment AB.

-10-8-6-4-2246810-10-8-6-4-2246810

10. The slope of the line passing through (1, 1) and (3, 3) is -1.

T

True

F

False

11. A line with a positive slope rises from left to right.

T

True

F

False