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home / study / math / algebra / algebra solutions manuals / Elementary Technical Mathematics / 11th edition / chapter 8.2 / problem 9E # Elementary Technical Mathematics (11th Edition) View more editions Solutions for Chapter 8.2 Problem 9EProblem 9E: Draw the graph of the equation:3x − 4y = 12

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Chapter:
Problem:

Draw the graph of the equation:

3x − 4y = 12

Step-by-Step Solution:

Chapter:
Problem:

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Corresponding Textbook Elementary Technical Mathematics | 11th Edition
9781285199191ISBN-13:
1285199197ISBN:
Dale Ewen Authors:

This is an alternate ISBN. View the primary ISBN for:
Elementary Technical Mathematics 11th Edition Textbook Solutions

## Solutions for Problems in Chapter 8.2

• 1E
• 2E
• 3E
• 4E
• 5E
• 6E
• 7E
• 8E
• 9E
• 10E
• 11E
• 12E
• 13E
• 14E
• 15E
• 16E
• 17E
• 18E
• 19E
• 20E
• 21E
• 22E
• 23E
• 24E
• 25E
• 26E
• 27E
• 28E
• 29E
• 30E
• 31E
• 32E
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• 35E
• 36E
• 37E
• 38E
• 39E
• 40E
• 41E
• 42E
• 43E
• 44E
• 45E
• 46E

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# Pre-Algebra Examples

Popular Problems
Pre-Algebra
Graph 3x+4y=12

Solve for .

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Subtract from both sides of the equation.
Divide each term by and simplify.

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Divide each term in by .
Reduce the expression by cancelling the common factors.

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Cancel the common factor.
Divide by .
Divide by .
Use the slope-intercept form to find the slope and y-intercept.

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The slope-intercept form is , where is the slope and is the y-intercept.
Find the values of and using the form .
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
Y-Intercept:
Slope:
Y-Intercept:
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.

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Choose to substitute in for to find the ordered pair.

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Replace the variable with in the expression.
Simplify the result.

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Simplify each term.

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Multiply by .
Reduce the expression by cancelling the common factors.

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Factor out of .
Cancel the common factors.

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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply by .
Multiply by .
The final answer is .
The first point is .
Choose to substitute in for to find the ordered pair.

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Replace the variable with in the expression.
Simplify the result.

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Simplify each term.

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Multiply by .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

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Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.

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Multiply by .
Multiply by .