Chapter 8.8, Problem 1OE

To determine

To find: Theslope and the y -intercept of the graph of the linear function.

Answer to Problem 1OE

The slope of the graph is $-3$ and the $y$ -intercept is $9$ .

Explanation of Solution

Given information:

The given function is,

  $f:x\to -3x+9$

Concept used:

The standard equation for the linear function cab be written as,

  $y=mx+b$

Here, the slope of the graph is $m$ and the $y$ -intercept is $b$ .

The given function is,

  $f:x\to -3x+9$

The standard equation for the linear function cab be written as,

  $y=mx+b$

Here, the slope of the graph is $m$ and the $y$ -intercept is $b$ .

Compare both the equation to obtain,

  $\begin{array}{l}m=-3\\ b=9\end{array}$

Thus, the slope of the graph is $-3$ and the $y$ -intercept is $9$ .