Chapter 5.6, Problem 5STP

For Exercises $1-5,$ choose the correct letter.

Segment XY represents the path of an airplane that passes through the coordinates (2,1) and $(4,5)$.

What is the slope of a line that represents the path of another airplane that is traveling parallel to the first airplane?

A. $-2$

C. $\frac{1}{2}$

B. $-\frac{1}{2}$

D. 2

To determine

To find: The slope of the path of a plane that is travelling parallel to another plane.

Answer to Problem 5STP

The option D is correct.

Explanation of Solution

Given information:

The first plane passes over the line segment XY through the coordinates $\left(2,1\right)$ And$\left(4,5\right)$ . Another plane travelling parallel to first plane. The slope of the path of another plane is

A. -2   B. $-\frac{1}{2}$  C. $\frac{1}{2}$  D. $2$

Formula used:

The slope of the line segment joining points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ is given by $m=\frac{y_2-y_1}{x_2-x_1}$ .The slopes of two parallel lines are equal.

Calculations:

The slope of the line segment XY joining points $\left(2,1\right)$ and $\left(4,5\right)$ is $m=\frac{5-1}{4-2}=\frac{4}{2}=2$ .

Since the path of another plane is parallel to line segment XY , therefore the slope of the path of another plane is also 2.

Hence, the option D is correct.

Conclusion:

The option D is correct.