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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 3: Q.420R (page 355)

In the following exercises, find the slope of each line shown,

Short Answer

Expert verified

Slope of given line is $\frac{1}{3}$ .

Step by step solution

01

Given information.

The graph showing line:

02

Find two points on the line.

Write two points from the graph through which the line is passing whose coordinates should be integer.

From the graph, such two points are: $(2, - 2)$ and $(5, - 1)$ .

03

Find the slope.

Slope of line passing through two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given by:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Here, we have: $(x_{1}, y_{1}) = (2, - 2); (x_{2}, y_{2}) = (5, - 1)$

So, required slope is :

$m = \frac{- 1 - (- 2)}{5 - 2} = \frac{- 1 + 2}{3} = \frac{1}{3}$

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Graph the equations $x = 4$ and $y = 3$ .

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