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Solving Problems with Linear Functions: Slope, Intercept, and Equations, Exercises of Statistics

Amity University - BiharStatistics

A collection of problems related to linear functions and their graphs. The problems involve identifying slope and y-intercept, putting equations in slope-intercept form, graphing lines, and calculating the slope of lines passing through given points. The document also includes answer keys for reference.

Typology: Exercises

2012/2013

Uploaded on 02/11/2013

sana.fati
sana.fati 🇮🇳

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Linear Functions and Their Graphs
Graphthelinearfunctionusingtheslopeandy-intercept.
1) y=1
5x
x
-10 -5 5 10
y
10
5
-5
-10
x
-10 -5 5 10
y
10
5
-5
-10
2) y=2x+7
x
-10 -5 5 10
y
10
5
-5
-10
x
-10 -5 5 10
y
10
5
-5
-10
3) y=-1
2x+2
x
-10 -5 5 10
y
10
5
-5
-10
x
-10 -5 5 10
y
10
5
-5
-10
4) y=1
2x-3
x
-10 -5 5 10
y
10
5
-5
-10
x
-10 -5 5 10
y
10
5
-5
-10
5) y=1
3x+2
x
-10 -5 5 10
y
10
5
-5
-10
x
-10 -5 5 10
y
10
5
-5
-10
Prestatistics
Docsity.com
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Partial preview of the text

Download Solving Problems with Linear Functions: Slope, Intercept, and Equations and more Exercises Statistics in PDF only on Docsity!

Linear Functions and Their Graphs

Graph the linear function using the slope and y - intercept.

1) y = 15 x

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

2) y = 2x + 7

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

3) y = - 12 x + 2

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

4) y = 12 x - 3

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

5) y = 13 x + 2

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

Prestatistics

In the following problem: a. Put the equation in

slope-intercept form.

b. Identify the slope and y-intercept. c. Graph the line.

6) 3x + 8y = 24

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

7) 6x + y = 6

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

8) 2y + x = 0

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

9) 5y = 8x

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

Use the x- and y-intercepts to graph the linear equation.

10) x + 3y = 9

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

11) y - x = - 3

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

Prestatistics

Graph the horizontal or vertical line.

25) y = 5

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

26) x = 2

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

Prestatistics

Answer Key Testname: PRESTAT LIN FCT PRACTICE

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

Prestatistics

Answer Key Testname: PRESTAT LIN FCT PRACTICE

7) a. y = - 6x + 6

b. slope = - 6, y-intercept = 6

c.

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

8) a. y = - 12 x

b. slope = - 12 , y-intercept = 0

c.

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

Prestatistics

Answer Key Testname: PRESTAT LIN FCT PRACTICE

9) a. y = 85 x

b. slope = 85 , y-intercept = 0

c.

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 x

10 y 8 6 4 2

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

-10 -5 5 10 x

y 10

5

Prestatistics

Answer Key Testname: PRESTAT LIN FCT PRACTICE

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

Prestatistics