Q. 4 - Elementary Statistics

Question

In Problems 3-5, answer true or false to each statement. Explain your answers.

4. A horizontal line has no slope.

Step-by-Step Solution

Answer

It is incorrect to say that a horizontal line has no slope. 

Step 1: Concept Introduction

The $x$-axis of the coordinate plane is formed by a horizontal line parallel to the left and right axes. The $y$-coordinate of every point along the line is the same.

Step 2: Explanation

The horizontal line $y=4$should be taken into consideration,

The slope is computed using the (arbitrary) points$(-2,4)$ and $(4,4)$ from the line:

$$\begin{gathered} \begin{array}{r}m=\frac{4-4}{4-(-2)}\end{array} \\ =\frac{0}{6} \\ =0 \end{gathered}$$

A line with a slope of zero is horizontal, and a horizontal line suggests that you will obtain a slope of zero.