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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 3: Q. 419R (page 355)

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

Short Answer

Expert verified

Slope of given line is 1.

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: $(0, 4)$ and $(- 4, 0)$ .

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: $(x_{1}, y_{1}) = (0, 4); (x_{2}, y_{2}) = (- 4, 0)$

So, required slope is :

$m = \frac{0 - 4}{- 4 - 0} = 1$

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Most popular questions from this chapter

Graph the equation $3 x + y = 3$ using the intercepts.

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

$f (x) = x^{3} - 2$

Determine an equation of the line that contains the points (7,2) and (7,-2). Write the equation in slope-intercept form.

For the function $f (x) = 3 x^{2} - 2 x + 1$ , evaluate the function.

$f (3)$
$f (- 1)$
$f (t)$

Use the slope formula to find the slope of the line between each pair of points.

$(- 1, - 2), (2, 5)$ .

See all solutions

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