   Chapter 10.2, Problem 4E 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. x - 3 y = 4

To determine

To draw:

The graph of the equation x-3y=4 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 x-3y=4,

0-3y=4

On simplifying,

-3y=4

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

-3y-3=4-3

y=-43

Thus the first point is 0, -43.

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

x-30=4

On simplifying,

x=4

Thus the second point is 4, 0

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