GRAPHING LINEAR EQUATIONS USING INTERCEPTS WORKSHEET

Use intercepts to graph the line described by each equation.

Problem 1 :

x + y = -2

Problem 2 :

x - y = 1

Problem 3 :

x + 2y = 4

Problem 4 :

y = x + 3

Problem 5 :

y = -x + 5

Problem 6 :

y = 0.5x - 3

Detailed Answer Key

1. Answer :

Find the intercepts.

x-intercept :

x + y = -2

x + 0 = -2

x = -2

(-2, 0)

y-intercept :

x + y = -2

0 + y = -2

y = -2

(0, -2)

Plot (-2, 0) and (0, -2).

Connect with a straight line.

2. Answer :

Find the intercepts.

x-intercept :

x - y = 1

x - 0 = 1

x = 1

(1, 0)

y-intercept :

x - y = 1

0 - y = 1

y = -1

(0, -1)

Plot (1, 0) and (0, -1).

Connect with a straight line.

3. Answer :

Find the intercepts.

x-intercept :

x + 2y = 4

x + 2(0) = 4

x + 0 = 4

x = 4

(4, 0)

y-intercept :

x + 2y = 4

0 + 2y = 4

2y = 4

y = 2

(0, 2)

Plot (4, 0) and (0, 2).

Connect with a straight line.

4. Answer :

Find the intercepts.

x-intercept :

y = x + 3

0 = x + 3

-3 = x

(-3, 0)

y-intercept :

y = x + 3

y = 0 + 3

y = 3

(0, 3)

Plot (-3, 0) and (0, 3).

Connect with a straight line.

5. Answer :

Find the intercepts.

x-intercept :

y = -x + 5

0 = -x + 5

x = 5

(5, 0)

y-intercept :

y = -x + 5

y = 0 + 5

y = 5

(0, 5)

Plot (5, 0) and (0, 5).

Connect with a straight line.

6. Answer :

Find the intercepts.

x-intercept :

y = 0.5x - 3

0 = 0.5x - 3

3 = 0.5x

6 = x

(6, 0)

y-intercept :

y = 0.5x - 3

y = 0.5(0) - 3

y = 0 - 3

y = -3

(0, -3)

Plot (6, 0) and (0, -3).

Connect with a straight line.

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GRAPHING LINEAR EQUATIONS USING INTERCEPTS WORKSHEET

Detailed Answer Key

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