Chapter 4: Q. 198 (page 466)

In the following exercises, graph using the intercepts.
$3 x - 4 y = - 12$ .

Short Answer

Expert verified

The graph is as follows,

Step by step solution

Step 1. Given Information.

The equation is $3 x - 4 y = - 12$ .

Find the intercepts.
Make the table for graph.
Draw the graph.

Step 2. Explanation.

Find the intercept and third point.

To find y-intercept, substitute $x = 0$ in the equation.

role="math" localid="1647536143984" $3 x - 4 y = - 12 3 (0) - 4 y = - 12 - 4 y = - 12 y = 3$

To find x-intercept, substitute $y = 0$ in the equation.

$3 x - 4 y = - 12 3 x - 4 (0) = - 12 3 x = - 12 x = - 4$

To find third point consider x be any number.

Let $x = 3$ .

$3 x - 4 y = - 12 3 (2) - 4 y = - 12 6 - 4 y = - 12 - 4 y = - 18 y = \frac{18}{4} y = 4.5$

The table is as follows,

x	y	$(x, y)$
0	3	$(0, 3)$
-4	0	$(- 4, 0)$
2	4.5	$(2, 4.5)$

Step 3. Draw the graph.

The graph is as follows,

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In the following exercises, graph using the intercepts.
$3 x - 4 y = - 12$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Draw the graph.

One App. One Place for Learning.

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In the following exercises, graph using the intercepts.3x-4y=-12.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Draw the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Geometry

Calculus

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph using the intercepts.
$3 x - 4 y = - 12$ .