3.1 Graph Linear Equations in Two Variables

Plotting points on the coordinate plane, sketching a line from a table of solutions or from its x- and y-intercepts, and handling vertical and horizontal cases.

Intermediate Algebra 2e, 3.1 Graph Linear Equations in Two Variables

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11 exercises

3.1 Exercise 1

Before you get started, take this readiness quiz.

Evaluate $5 x - 4$ when $x = −1 .$
If you missed this problem, review the reference.

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3.1 Exercise 2

Evaluate $3 x - 2 y$ when $x = 4 , y = −3 .$
If you missed this problem, review the reference.

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3.1 Exercise 3

Solve for y: $8 - 3 y = 20 .$
If you missed this problem, review the reference.

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3.1 Exercise 26

Find the intercepts: $3 x + y = 12 .$

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3.1 Exercise 27

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

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3.1 Exercise 73

Find the intercepts for each equation.

$x - y = 5$

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3.1 Exercise 75

Find the intercepts for each equation.

$3 x + y = 6$

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3.1 Exercise 77

Find the intercepts for each equation.

$4 x - y = 8$

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3.1 Exercise 79

Find the intercepts for each equation.

$2 x + 5 y = 10$

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3.1 Exercise 105

Explain how you would choose three x-values to make a table to graph the line $y = \frac{1}{5} x - 2 .$

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3.1 Exercise 107

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $4 x + y = −4 ?$ Why?

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