Chapter 8.7, Problem 22E

To determine

To graph:

The given function.

Answer to Problem 22E

The graph of our given function would look like:

Explanation of Solution

Given:

A function: $h(x)=-\frac{2}{3}x+5$ .

Concept used:

The slope-intercept form of equation is $y=mx+b$ , where m represents slope of line and b represents the y -intercept.

Calculation:

First of all, we will replace $h(x)$ with y as shown below:

  $y=-\frac{2}{3}x+5$

Now we have written our function in slope-intercept form. The slope of the line is $-\frac{2}{3}$ and the y -intercept is $5$ .

We will start from drawing the y- intercept of our given line. The y -intercept of our given line is $5$ , so we will start our line from $(0,5)$ .

Since slope of our given line is $-\frac{2}{3}$ , so rise is $-2$ and run is $3$ .

Upon graphing our given function, we will get our required graph as shown below: