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11.3 Graphing with Intercepts

Where a line crosses each axis, finding those points by setting x and then y to zero, drawing the line from them, and picking the quickest graphing method.

Prealgebra 2e, 11.3 Graphing with Intercepts

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35 exercises

11.3 Exercise 1

Before you get started, take this readiness quiz.

Solve: 3x+4y=−123 x + 4 y = −12 for xx when y=0.y = 0 .
If you missed this problem, review the reference.

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11.3 Exercise 2

Is the point (0,−5)\left(0 , −5\right) on the x-axisx -\text{axis} or y-axis?y -\text{axis}?
If you missed this problem, review the reference.

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11.3 Exercise 3

Which ordered pairs are solutions to the equation 2x−y=6?2 x - y = 6 ?
ⓐ (6,0)\left(6 , 0\right)ⓑ (0,−6)\left(0 , −6\right)ⓒ (4,−2).\left(4 , −2\right) .
If you missed this problem, review the reference.

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11.3 Exercise 8

Find the intercepts: 3x+y=123 x + y = 12

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11.3 Exercise 9

Find the intercepts: x+4y=8x + 4 y = 8

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11.3 Exercise 10

Find the intercepts of 4x−3y=12.4 x −3 y = 12 .

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11.3 Exercise 11

Find the intercepts of the line: 3x−4y=12.3 x −4 y = 12 .

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11.3 Exercise 12

Find the intercepts of the line: 2x−4y=8.2 x −4 y = 8 .

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11.3 Exercise 22

Identify the most convenient method to graph each line:

  1. ⓐ y=−3y = −3
  2. ⓑ 4x−6y=12 4 x −6 y = 12
  3. ⓒ x=2x = 2
  4. ⓓ y=25x−1y = \frac{2}{5} x −1

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11.3 Exercise 23

Identify the most convenient method to graph each line:

  1. ⓐ 3x+2y=123 x + 2 y = 12
  2. ⓑ y=4y = 4
  3. ⓒ y=15x−4y = \frac{1}{5} x −4
  4. ⓓ x=−7x = −7
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11.3 Exercise 24

Identify the most convenient method to graph each line:

  1. ⓐ x=6x = 6
  2. ⓑ y=−34x+1y = - \frac{3}{4} x + 1
  3. ⓒ y=−8y = −8
  4. ⓓ 4x−3y=−14 x −3 y = −1
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11.3 Exercise 35

Find the intercepts.

x+y=4x + y = 4

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11.3 Exercise 37

Find the intercepts.

x+y=−2x + y = −2

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11.3 Exercise 39

Find the intercepts.

x−y=5x - y = 5

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11.3 Exercise 41

Find the intercepts.

x−y=−3x - y = −3

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11.3 Exercise 43

Find the intercepts.

x+2y=8x + 2 y = 8

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11.3 Exercise 45

Find the intercepts.

3x+y=63 x + y = 6

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11.3 Exercise 47

Find the intercepts.

x−3y=12x −3 y = 12

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11.3 Exercise 49

Find the intercepts.

4x−y=84 x - y = 8

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11.3 Exercise 51

Find the intercepts.

2x+5y=102 x + 5 y = 10

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11.3 Exercise 53

Find the intercepts.

3x−2y=123 x −2 y = 12

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11.3 Exercise 55

Find the intercepts.

y=13x−1y = \frac{1}{3} x −1

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11.3 Exercise 57

Find the intercepts.

y=15x+2y = \frac{1}{5} x + 2

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11.3 Exercise 59

Find the intercepts.

y=3xy = 3 x

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11.3 Exercise 61

Find the intercepts.

y=−4xy = −4 x

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11.3 Exercise 89

Identify the most convenient method to graph each line.

x=2x = 2

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11.3 Exercise 91

Identify the most convenient method to graph each line.

y=5y = 5

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11.3 Exercise 93

Identify the most convenient method to graph each line.

y=−3x+4y = −3 x + 4

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11.3 Exercise 95

Identify the most convenient method to graph each line.

x−y=5x - y = 5

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11.3 Exercise 97

Identify the most convenient method to graph each line.

y=23x−1y = \frac{2}{3} x −1

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11.3 Exercise 99

Identify the most convenient method to graph each line.

y=−3y = −3

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11.3 Exercise 101

Identify the most convenient method to graph each line.

3x−2y=−123 x −2 y = −12

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11.3 Exercise 103

Identify the most convenient method to graph each line.

y=−14x+3y = - \frac{1}{4} x + 3

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11.3 Exercise 107

How do you find the x-interceptx -\text{intercept} of the graph of 3x−2y=6?3 x −2 y = 6 ?

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11.3 Exercise 109

Do you prefer to graph the equation 4x+y=−44 x + y = −4 by plotting points or intercepts? Why?

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Adapted from Prealgebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Prealgebra 2e. Imported at revision 77a933c.