Chapter 4.5, Problem 5PS

a.

To determine

To find: The value of given expression.

Answer to Problem 5PS

  $\frac{5}{4}$ .

Explanation of Solution

Given information:

Few points are given as $\left(x_1,y_1\right)=\left(0,0\right),\left(x_2,y_2\right)=\left(4,5\right),\left(x_3,y_3\right)=\left(0,3\right),\text{ and }\left(x_4,y_4\right)=\left(4,8\right)$

Calculation:

  $\left(x_1,y_1\right)=\left(0,0\right),\left(x_2,y_2\right)=\left(4,5\right),\left(x_3,y_3\right)=\left(0,3\right),\text{ and }\left(x_4,y_4\right)=\left(4,8\right)$

  $\text{So, }\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{4-0}=\frac{5}{4}$ .

b.

To determine

To find: The value of given expression.

Answer to Problem 5PS

  $\frac{5}{4}$ .

Explanation of Solution

Given information:

Few points are given as $\left(x_1,y_1\right)=\left(0,0\right),\left(x_2,y_2\right)=\left(4,5\right),\left(x_3,y_3\right)=\left(0,3\right),\text{ and }\left(x_4,y_4\right)=\left(4,8\right)$

Calculation:

  $\left(x_1,y_1\right)=\left(0,0\right),\left(x_2,y_2\right)=\left(4,5\right),\left(x_3,y_3\right)=\left(0,3\right),\text{ and }\left(x_4,y_4\right)=\left(4,8\right)$

  $\text{So, }\frac{y_4-y_3}{x_4-x_3}=\frac{8-3}{4-0}=\frac{5}{4}$ .

c.

To determine

To find: The line joining given points.

Explanation of Solution

Given information:

Few points are given as $\left(x_1,y_1\right)=\left(0,0\right),\left(x_2,y_2\right)=\left(4,5\right),\left(x_3,y_3\right)=\left(0,3\right),\text{ and }\left(x_4,y_4\right)=\left(4,8\right)$

Calculation:

  $\left(x_1,y_1\right)=\left(0,0\right),\left(x_2,y_2\right)=\left(4,5\right),\left(x_3,y_3\right)=\left(0,3\right),\text{ and }\left(x_4,y_4\right)=\left(4,8\right)$

Drawing these points on graph and joining first two points and last two points as below. Both lines appears to be parallel.