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4.3 Graph with Intercepts

Where a line crosses each axis, finding those crossings algebraically by setting x or y to zero, and sketching from just those two points.

Elementary Algebra 2e, 4.3 Graph with Intercepts

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21 exercises

4.3 Exercise 1

Before you get started, take this readiness quiz.

Solve: 3·0+4y=−2.3 \cdot 0 + 4 y = −2 .
If you missed this problem, review the reference.

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4.3 Exercise 6

Find the intercepts of 3x+y=12.3 x + y = 12 .

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4.3 Exercise 7

Find the intercepts of x+4y=8.x + 4 y = 8 .

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4.3 Exercise 9

Find the intercepts of 3x–4y=12.3 x – 4 y = 12 .

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4.3 Exercise 10

Find the intercepts of 2x–4y=8.2 x – 4 y = 8 .

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4.3 Exercise 32

Find the intercepts for each equation.

x+y=4x + y = 4

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4.3 Exercise 34

Find the intercepts for each equation.

x+y=−2x + y = −2

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4.3 Exercise 36

Find the intercepts for each equation.

x–y=5x – y = 5

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4.3 Exercise 38

Find the intercepts for each equation.

x–y=−3x – y = −3

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4.3 Exercise 40

Find the intercepts for each equation.

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

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4.3 Exercise 42

Find the intercepts for each equation.

3x+y=63 x + y = 6

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4.3 Exercise 44

Find the intercepts for each equation.

x–3y=12x – 3 y = 12

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4.3 Exercise 46

Find the intercepts for each equation.

4x–y=84 x – y = 8

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4.3 Exercise 48

Find the intercepts for each equation.

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

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4.3 Exercise 50

Find the intercepts for each equation.

3x–2y=123 x – 2 y = 12

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4.3 Exercise 52

Find the intercepts for each equation.

y=13x+1y = \frac{1}{3} x + 1

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4.3 Exercise 54

Find the intercepts for each equation.

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

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4.3 Exercise 56

Find the intercepts for each equation.

y=3xy = 3 x

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4.3 Exercise 58

Find the intercepts for each equation.

y=−4xy = −4 x

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4.3 Exercise 88

How do you find the x- intercept of the graph of 3x–2y=63 x – 2 y = 6?

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4.3 Exercise 90

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation y=23x−2y = \frac{2}{3} x - 2? Why?

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