Chapter 9.5, Problem 9GP

a.

To determine

To graph the equation using slope and y-intercept.

Explanation of Solution

Given information:

The given statement is:

“A kite flying $60\text{ feet}$ in the air is falling. The altitude of the kite can be represented by $\text{y}=-\text{x}+\text{60}$ , where $\text{x}$ is the time in seconds”

Graph:

The slope of the equation is $-1$ and the y-intercept is $60$ .

Graph the y-intercept at $\left(0,60\right)$ .

Using the slope $-1$ locate another point on the line.

Move $\text{y}$ down by $\text{2 units}$ and move $\text{x}$ right by $\text{2 units}$ .

The other point is $\left(20,40\right)$ .

Draw a line through the two points.

The graph is:

  

b.

To determine

To describe what the y-intercept and the slope represents.

Answer to Problem 9GP

The y-intercept $60$ represents the height at which the kite was flying.

The slope $-1$ represents the rate at which the kite is falling per second.

Explanation of Solution

Given information:

The given statement is:

“A kite flying $60\text{ feet}$ in the air is falling. The altitude of the kite can be represented by $\text{y}=-\text{x}+\text{60}$ , where $\text{x}$ is the time in seconds”

The slope of the equation is $-1$ and the y-intercept is $60$ .

The y-intercept $60$ represents the height at which the kite was flying.

The slope $-1$ represents the rate at which the kite is falling per second.