Chapter 9: Q5. (page 523)

Use a table of values to graph each equation.
$4 x - 3 y = 12$

Short Answer

Expert verified

The table of values to graph the given equation $4 x - 3 y = 12$ is:

$x$	$y = \frac{4}{3} x - 4$	$(x, y)$
60	$y = \frac{4}{3} (0) - 4 = - 4$	$(0, - 4)$
$- 3$	$y = \frac{4}{3} (- 3) - 4 = - 8$	$(- 3, - 8)$
$- 6$	$y = \frac{4}{3} (- 6) - 4 = - 12$	$(- 6, - 12)$
3	$y = \frac{4}{3} (3) - 4 = 0$	$(3, 0)$
$6$	$y = \frac{4}{3} (6) - 4 = 4$	$(6, 4)$

The graph of the given equation $4 x - 3 y = 12$ is:

Step by step solution

Step1. Given

$4 x - 3 y = 12$

Step2. Write a table of values to graph the given equation 4x−3y=12.

It can be noticed that:

$4 x - 3 y = 12 4 x - 12 = 3 y \frac{4 x - 12}{3} = y \frac{4}{3} x - 4 = y$

The table of values to graph the given equation $4 x - 3 y = 12$ is:

$x$	$y = \frac{4}{3} x - 4$	$(x, y)$
0	$y = \frac{4}{3} (0) - 4 = - 4$	$(0, - 4)$
$- 3$	$y = \frac{4}{3} (- 3) - 4 = - 8$	$(- 3, - 8)$
$- 6$	$y = \frac{4}{3} (- 6) - 4 = - 12$	$(- 6, - 12)$
3	$y = \frac{4}{3} (3) - 4 = 0$	$(3, 0)$
6	$y = \frac{4}{3} (6) - 4 = 4$	$(6, 4)$

Step3. Draw the graph of the given equation 4x−3y=12.

The graph of the given equation $4 x - 3 y = 12$ is:

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Use a table of values to graph each equation.
$4 x - 3 y = 12$

Short Answer

Step by step solution

Step1. Given

Step2. Write a table of values to graph the given equation 4x−3y=12.

Step3. Draw the graph of the given equation 4x−3y=12.

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Use a table of values to graph each equation.4x−3y=12

Short Answer

Step by step solution

Step1. Given

Step2. Write a table of values to graph the given equation 4x−3y=12.

Step3. Draw the graph of the given equation 4x−3y=12.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Use a table of values to graph each equation.
$4 x - 3 y = 12$