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Equation of a Line Worksheet

This worksheet helps 7th-grade students understand and practice the equation of a line, including slope-intercept form, graphing, and identifying slope and y-intercept.

Grade 7 Math AlgebraEquation of a Line
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

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

Topics

mathalgebraequation of a lineslopey-interceptgrade 7
7 sections · Free to use · Printable
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Equation of a Line Worksheet

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. In the equation y = mx + b, 'm' represents the   of the line.

2. In the equation y = mx + b, 'b' represents the   of the line.

3. A horizontal line has a slope of  .

4. A vertical line has an   slope.

1. Which of the following equations is in slope-intercept form?

a

2x + 3y = 6

b

y = -4x + 5

c

x = 7

d

y - 2 = 3(x + 1)

2. What is the slope of the line represented by the equation y = 3x - 2?

a

3

b

-2

c

1/3

d

2

1. Graph the equation y = 2x + 1 on the coordinate plane below.

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

1. For the equation y = -3x + 4, identify the slope and the y-intercept.

Slope:  

Y-intercept:  

2. Write the equation of a line with a slope of 1/2 and a y-intercept of -3.

Equation:  

1. The y-intercept is the point where the line crosses the x-axis.

T

True

F

False

2. A steeper line has a larger absolute value for its slope.

T

True

F

False