   Chapter 10.2, Problem 2E 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 + 5 y = 15

To determine

To draw:

The graph of the equation 3x+5y=15 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+5y=15,

30+5y=15

On simplifying,

5y=15

The coefficient of y is 5, thus divide both sides by 5.

5y5=155

y=3

Thus the first point is 0, 3.

Substitute y=0 in the given equation 3x+5y=15,

3x+50=15

On simplifying,

3x=15

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

3x3=153

x=5

Thus the second point is 5, 0

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