Chapter 5.6, Problem 45STP

To determine

To find: The linear function that best describes the graph.

Answer to Problem 45STP

A linear function that best describes the graph is $y=-\frac{1}{4}x+5$ .

Explanation of Solution

Given information:

The graph,

  

Here,

It can be seen that the graph moves down as $x$ moves to the right.

Hence, the function is decreasing.

To be precise,

  $x_1>x_2$

It implies that,

  $f\left(x_1\right)<f\left(x_2\right)$ .

Thus, the slope must be negative.

It can be clearly seen from the graph that,

for $x=0,f\left(x\right)=5$ .

In other words we can say that y-intercept is $5$ .

Therefore, a linear function that best describes the graph is $y=-\frac{1}{4}x+5$ .