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Equation of a Line Worksheet

Grade 8 math worksheet on understanding and writing equations of lines, including slope-intercept form and graphing linear equations.

Grade 8 Math AlgebraEquation of a Line
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.EE.B.6

Topics

mathalgebraequation of a linegrade 8slopey-intercept
8 sections · Free to use · Printable
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Equation 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 does 'm' represent in the slope-intercept form y = mx + b?

a

y-intercept

b

x-intercept

c

slope

d

origin

2. Which of the following equations represents a line with a negative slope?

a

y = 3x + 2

b

y = -2x + 5

c

y = x + 1

d

y = 4x - 0

3. The   is the point where the line crosses the y-axis.

4. A horizontal line has a slope of  .

5. Graph the equation y = 2x - 3 on the coordinate plane.

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

6. Write the equation of a line that passes through the points (1, 5) and (3, 9).

7. The slope of a vertical line is undefined.

T

True

F

False

8. In the equation y = -x + 4, the y-intercept is -4.

T

True

F

False

Match each description with the correct term.

9. Rise over run

 

a. y-intercept

10. Where the line crosses the y-axis

 

b. slope

11. y = mx + b

 

c. slope-intercept form

12. A taxi service charges a flat fee of $3.00 plus $1.50 per mile. Write an equation to represent the total cost (C) for a ride of (m) miles. Then, calculate the cost for a 10-mile ride.