   Chapter 10.2, Problem 1E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 1 to 8, draw the graph of each equation. Name any intercepts. 3 x + 4 y = 12

To determine

To draw:

The graph of the equation 3x+4y=12 and name any intercepts.

Explanation

To draw a graph for a equation,

First we need to find the x-intercept and y-intercept.

For finding the x-intercept, make y as 0 and solve for x in the given equation.

For finding the y-intercept, make x as 0 and solve for y in the given equation.

Substitute x=0 in the given equation 3x+4y=12,

30+4y=12

On simplifying,

4y=12

The coefficient of y is 4, thus divide both sides by 4.

4y4=124

y=3

Thus the first point is 0, 3.

Substitute y=0 in the given equation 3x+4y=12,

3x+40=12

On simplifying,

3x=12

The coefficient of x is 3, thus divide both sides by 3.

3x3=123

x=4

Thus the second point is 4, 0

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