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Elementary Technical Mathematics (11th) edition 1285199197 9781285199191


Elementary Technical Mathematics
(11th Edition)
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Solutions for Chapter 8.2 Problem 9E

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

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Elementary Technical Mathematics 11th Edition Textbook Solutions

Solutions for Problems in Chapter 8.2

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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 .
Add and .
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 .
Add and .
The final answer is .
The second point is .
Create a table of the and values.
Graph the line using the slope and the y-intercept, or the points.
Slope:
Y-Intercept:

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