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Substitute 0 for y. Write original equation. To find the x-intercept, substitute 0 for y and solve for x. SOLUTION Find the x-intercept and the y-intercept of the graph of 2x + 7y = 28. Find the intercepts of the graph of an equa EXAMPLE 1 Solve for x. 2x + 7(0) = 28 x = = 14 28 2 2x + 7y = 28

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

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Page 1: Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

Substitute 0 for y.

Write original equation.

To find the x-intercept, substitute 0 for y and solve for x.

SOLUTION

Find the x-intercept and the y-intercept of the graph of 2x + 7y = 28.

Find the intercepts of the graph of an equationEXAMPLE 1

Solve for x.

2x + 7(0) = 28

x = = 14282

2x + 7y = 28

Page 2: Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

2(0) + 7y = 28

Find the intercepts of the graph of an equation

EXAMPLE 1

To find the y-intercept, substitute 0 for x and solve for y.

Write original equation.

Substitute 0 for x.

Solve for y.

ANSWER

The x-intercept is 14. The y-intercept is 4.

2x +7y = 28

y = 287 = 4

Page 3: Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

Substitute 0 for y.

Write original equation.

To find the x-intercept, substitute 0 for y and solve for x.

SOLUTION

Find the x-intercept and the y-intercept of the graph of the equation.

Solve for x.

3x + 2(0) = 6

x = 2

3x + 2y = 6

GUIDED PRACTICE for Example 1

1. 3x + 2y = 6

Page 4: Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

3(0) + 2y = 6

Find the intercepts of the graph of an equation

EXAMPLE 1

To find the y-intercept, substitute 0 for x and solve for y.

Write original equation.

Substitute 0 for x.

Solve for y.

ANSWER

The x-intercept is 2. The y-intercept is 3.

3x +2y = 6

y =3

GUIDED PRACTICE for Example 1

Page 5: Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

Substitute 0 for y.

Write original equation.

To find the x-intercept, substitute 0 for y and solve for x.

SOLUTION

Find the x-intercept and the y-intercept of the graph of the equation.

Solve for x.

4x – 2(0) = 10

4x – 2y = 10

GUIDED PRACTICE for Example 1

2. 4x – 2y = 10

104x = x= 2.5

Page 6: Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

4(0) – 2y = 10

Find the intercepts of the graph of an equation

EXAMPLE 1

To find the y-intercept, substitute 0 for x and solve for y.

Write original equation.

Substitute 0 for x.

Solve for y.

ANSWER

The x-intercept is 2.5. The y-intercept is –5.

4x – 2y =10

y = – = –5102

GUIDED PRACTICE for Example 1

Page 7: Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

Substitute 0 for y.

Write original equation.

To find the x-intercept, substitute 0 for y and solve for x.

SOLUTION

Find the x-intercept and the y-intercept of the graph of the equation.

Solve for x.

–3x + 5(0) = –15

–3x + 5y = –15

GUIDED PRACTICE for Example 1

3. – 3x + 5y = – 15

153x = = 5

Page 8: Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept

–3(0) + 5y = –15

Find the intercepts of the graph of an equation

EXAMPLE 1

To find the y-intercept, substitute 0 for x and solve for

y.

Write original equation.

Substitute 0 for x.

Solve for y.

ANSWER

The x-intercept is 5. The y-intercept is –3.

–3x + 5y = –15

y = – = –3155

GUIDED PRACTICE for Example 1