Chapter 13: Q. 13 (page 532)

Find the slope and length of AB.
A(-3, -2), B(7, -6)

Short Answer

Expert verified

The slope of the line is $- 0.4$ and the length of the line is $2 \sqrt{41}$ units.

Step by step solution

Step-1 – Given

The given pointsare A(-3, -2) and B(7, -6).

Step-2 – To determine

We have to find the slope and the length of the line $\bar{A B}$ .

Step-3 – Calculation

We will use the slope formula with two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ :

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

The given points are A(-3, -2) and B(7, -6).

$m = \frac{- 6 - (- 2)}{(7) - (- 3)} = \frac{- 4}{10} = - 0.4$

Length of the line $\bar{A B}$ :

$\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} = \sqrt{{(7 - (- 3))}^{2} + {(- 6 - (- 2))}^{2}} = 2 \sqrt{41}$

So, the slope of the line is $- 0.4$ and the length of the line is $2 \sqrt{41}$ units.

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Find the slope and length of AB.
A(-3, -2), B(7, -6)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Find the slope and length of AB.A(-3, -2), B(7, -6)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

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Statistics

Study anywhere. Anytime. Across all devices.

Find the slope and length of AB.
A(-3, -2), B(7, -6)