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Slope of a Line Worksheet

Grade 12 Math worksheet on understanding and calculating the slope of a line, including various forms of linear equations and real-world applications.

Grade 12 Math AlgebraLinear EquationsSlope of a Line
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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / FalseMatchingLong Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.B.6CCSS.MATH.CONTENT.HSG.GPE.B.5

Topics

AlgebraLinear EquationsSlopeGrade 12 Math
9 sections · Free to use · Printable
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Slope of a Line

Name:

Date:

Score:

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 passing through the points (2, 5) and (6, 13)?

a

1/2

b

2

c

-2

d

-1/2

2. A line has a slope of -3 and passes through the point (1, -2). Which of the following points also lies on this line?

a

(0, 1)

b

(2, 1)

c

(-1, 4)

d

(3, -8)

3. The slope of a horizontal line is  .

4. The slope of a vertical line is  .

5. A line with a positive slope rises from   to  .

6. Find the slope of the line represented by the equation 4x - 2y = 8.

7. A ladder leans against a wall. The base of the ladder is 3 feet from the wall, and the top of the ladder reaches 9 feet up the wall. What is the slope of the ladder?

8. Plot the points ( -4, 2 ) and ( 2, -1 ) on the coordinate plane below. Draw a line connecting them and determine its slope.

-5-4-3-2-112345-5-4-3-2-112345

Slope:  

9. Parallel lines have the same slope.

T

True

F

False

10. Perpendicular lines have slopes that are opposite reciprocals.

T

True

F

False

Match the equation form with its description:

11. y = mx + b

 

a. Standard Form

12. Ax + By = C

 

b. Point-Slope Form

13. y - y1 = m(x - x1)

 

c. Slope-Intercept Form

14. A ramp is being built to connect a loading dock to the ground. The loading dock is 4 feet high. If the angle of elevation for the ramp should not exceed 15 degrees, what is the minimum horizontal distance the ramp should extend from the dock? (Hint: tan(angle) = opposite/adjacent)

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