Chapter 9.3, Problem 34STP

To determine

To choose : the correct answer concerning the slope of the line.

Answer to Problem 34STP

Option F. is the correct answer.

Explanation of Solution

Given information :

A horizontal line passes through the point $(2,3)$ .

The given options:

F. $0$

G. $\frac{2}{3}$

H. $\frac{3}{2}$

J. $3$

Formula used:

The slope of a line:

  $m=\frac{y_2-y_1}{x_2-x_1}$ , where $x_2\ne x_1$

Calculation :

As per problem,

A horizontal line passes through the point $(2,3)$ .

The line being horizontal, is parallel to x-axis,so the other point on the line isat $(0,3)$ .

Take $y_1=3,y_2=3,x_1=0,\text{ and }{x}_2=2$

So the slope:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\text{ [Write the formula]}\\ m=\frac{3-3}{2-0}=\frac{0}{2}=0\end{array}$

Therefore, the slope of the line is zero.