Chapter 3: Q. 441 (page 356)

In the following exercises, graph the line of each equation using its slope and y-intercept.
$4 x - 3 y = 12$

Short Answer

Expert verified

The graph of the line is

Step by step solution

Step 1. Given information

The equation of line

$4 x - 3 y = 12$ ...................Equation (1)

Step 2. Identify the slope and y-intercept of the line

Rewrite equation (1)

$4 x - 12 = 3 y 3 y = 4 x - 12 y = \frac{1}{3} (4 x - 12)$

$y = \frac{4}{3} x - 4$ ...............equation(2)

By comparing the given equation (2) with standard equation of line

$y = m x + c$

We get

$m = \frac{4}{3} c = - 4$

That means slope is $\frac{4}{3}$ and y-intercept is (0, -4)

Step 3. Plot the y-intercept

Plot the point (0, -4) in a rectangular coordinate system

Step 4. Identify the rise over the run

Slope of the line $\frac{4}{3}$

$m = \frac{4}{3}$

So rise is 4 and run is 3

Step 5. Count out the rise and run to mark the second point

Rise is 4 and run is 3

So mark another point on the same graph at a distance of 3 unit in right direction along x-axis and 4 unit in upward direction along y-axis from first point

Step 6. Connect both points and extend the line.

The graph of the line is

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In the following exercises, graph the line of each equation using its slope and y-intercept.
$4 x - 3 y = 12$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the slope and y-intercept of the line

Step 3. Plot the y-intercept

Step 4. Identify the rise over the run

Step 5. Count out the rise and run to mark the second point

Step 6. Connect both points and extend the line.

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In the following exercises, graph the line of each equation using its slope and y-intercept. 4x-3y=12

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the slope and y-intercept of the line

Step 3. Plot the y-intercept

Step 4. Identify the rise over the run

Step 5. Count out the rise and run to mark the second point

Step 6. Connect both points and extend the line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, graph the line of each equation using its slope and y-intercept.
$4 x - 3 y = 12$