   Chapter 1, Problem 6RE

Chapter
Section
Textbook Problem

In Exercises 5-8, graph the given function or equation. 2 x − 3 y = 12

To determine

To graph: The equation 2x3y=12.

Explanation

Given Information:

The provided equation is 2x3y=12.

Graph:

Consider the equation, 2x3y=12

Rewrite the equation in the form of general equation of line y=mx+c as,

3y=122xy=1232x3=4+23x=23x4

Compute y-intercept by substituting x=0 in y=23x4.

y=23x4=23(0)4=04=4

Thus, the y-intercept is (0,4).

Compute slope of line y=23x4 by comparing it with the general equation of line y=mx+c where m is the slope.

By the comparison, the slope of line y=23x4 is 23

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