Find the slope of the line through the given points (4, -8) and (5, -8) . A)\frac{-16}{9} \\B)0...

Question:

Find the slope of the line through the given points (4, -8) and (5, -8) .

{eq}A)\frac{-16}{9} \\B)0 \\C)-16 {/eq}

D) No slope

Slope of a Line:

The slope of a line is the ratio of the difference of the y coordinates of points and difference of x coordinates of points . The slope of a line that passes through the points {eq}(x_1, y_1) {/eq} and {eq}(x_2, y_2) {/eq} is given by:

$$m= \dfrac{y_2-y_1}{x_2-x_1} $$

Answer and Explanation:

The given points are:

$$(x_1, y_1)= (4, -8) \\ (x_2, y_2)= (5, -8) $$

The slope of the line through these points is calculated using the formula:

$$\begin{align} m&= \dfrac{y_2-y_1}{x_2-x_1} \\ &= \dfrac{-8-(-8)}{5-4} \\ &= \dfrac{-8+8}{1} \\ &= \dfrac{0}{1} \\ &= \boxed{\mathbf{0}} \end{align} $$

Therefore, the answer is (B).


Learn more about this topic:

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How to Find and Apply The Slope of a Line

from ELM: CSU Math Study Guide

Chapter 15 / Lesson 4
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