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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 13: Q. 3 (page 531)

Find the slope of the line.

Short Answer

Expert verified

The slope of line is -1.

Step by step solution

Step-1 – Given

The given line is:

Step-2 – To determine

We have to find the slope of the line with given two points on the line (0, 2) and (2, 0).

Step-3 – Calculation

The slope formula of a line with two points $(x_{1}, y_{1})$ and $(x_{1}, y_{1})$ is given by:

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

The given points are (0, 2) and (2, 0).

$m = \frac{0 - 2}{(2) - (0)} = \frac{- 2}{2} = - 1$

Hence the slope of line is -1.

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Most popular questions from this chapter

A wheelchair ramp is to be built at the town library. If the entrance to the library is 18 in. above ground, and the slope of the ramp is, how far out from the building will the ramp start?

In Exercises 16-19 a point P on a line and the slope of the line are given. Sketch the line and find the coordinates of two other points on the line.

17. P(-3, 0); slope = $\frac{2}{5}$ .

Tell whether each expression is positive or negative for the line shown:

$\begin{array}{l} a . y_{2} - y_{1} \\ b . x_{2} - x_{1} \\ c . \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \end{array}$

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(0, 0); (5, 1)

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(6, -6); (4, 3)

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Find the slope of the line.

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Most popular questions from this chapter

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