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Interpreting Linear Graphs Worksheet

This worksheet focuses on interpreting and analyzing linear graphs, including slope, intercepts, and real-world applications, suitable for Grade 11 math students.

Grade 11 Math Data and GraphingInterpreting Linear Graphs
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSF.IF.B.4

Topics

linear graphsslopeinterceptsalgebragrade 11
7 sections · Free to use · Printable
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Interpreting Linear Graphs

Name:

Date:

Score:

Read each question carefully and provide the best answer based on the provided linear graphs. Show all your work where applicable.

A car travels at a constant speed. The graph below shows the distance (in miles) the car travels over time (in hours).

Time (hours)Distance (miles)001234520406080100120

1. What does the slope of this graph represent in the context of the problem?

2. What is the car's speed in miles per hour?

3. How far will the car travel in 3.5 hours?

4. A linear graph passes through the points (2, 5) and (4, 11). What is the slope of this line?

a

2

b

3

c

6

d

1/3

5. Which of the following equations represents a line with a negative slope and a positive y-intercept?

a

y = 2x + 3

b

y = -2x - 3

c

y = -2x + 3

d

y = 2x - 3

6. The point where a linear graph crosses the y-axis is called the  .

7. A horizontal line has a slope of  .

8. The   of a line describes its steepness and direction.

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

T

True

F

False

10. The equation y = 5 represents a vertical line.

T

True

F

False

11. Plot the line represented by the equation y = -x + 4 on the graph below. Identify its x-intercept and y-intercept.

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

x-intercept:  

y-intercept: