Chapter 8.7, Problem 9CYU

(a)

To determine

To calculate: To graph the equation

Answer to Problem 9CYU

Graph of equation of line is plotted.

Explanation of Solution

Given information: A kite is flying $60$ feet in the air is falling. The altitude of the kite can be represented by $y=-x+60$ , where $x$ is the time in seconds

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Equation is given as

  $y=-x+60$

Comparing the above equation to slope intercept form of line $y=mx+c$ , slope and Y-intercept are

  $\begin{array}{l}m=-1\\ c=60\end{array}$

Thus, y-intercept is at $\left(0,60\right)$ , which is the first point

Also, $m=-1$ , this means that one will fall 1 (down) and run 1(to the right)

Thus, other point is $\left(1,59\right)$

On plotting the graph,

  

(b)

To determine

To calculate: To state the slope and y-intercept

Answer to Problem 9CYU

Slope is $25$ and Y-intercept is $35$

Explanation of Solution

Given information: A kite is flying $60$ feet in the air is falling. The altitude of the kite can be represented by $y=-x+60$ , where $x$ is the time in seconds

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Equation is given as

  $y=-x+60$

Comparing the above equation to slope intercept form of line $y=mx+c$ , slope and Y-intercept are

  $\begin{array}{l}m=-1\\ c=60\end{array}$

Slope represents the rate of falling of kite

Y-intercept represents initial altitude of kite