Chapter 13: Q. 12 (page 532)

Find the slope and length of AB.
A(3, -1), B(5, -7)

Short Answer

Expert verified

The slope of the line is -3 and the length of the line is $2 \sqrt{10}$ units.

Step by step solution

Step-1 – Given

The given pointsare A(3, -1) and B(5, -7).

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, -1) and B(5, -7).

$m = \frac{- 7 - (- 1)}{(5) - (3)} = \frac{- 6}{2} = - 3$

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

$\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} = \sqrt{{(5 - 3)}^{2} + {(- 7 - (- 1))}^{2}} = 2 \sqrt{10}$

So, the slope of the line is -3 and the length of the line is $2 \sqrt{10}$ units.

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Find the slope and length of AB.
A(3, -1), B(5, -7)

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, -1), B(5, -7)

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

Calculus

Pure Maths

Applied Mathematics

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Statistics

Study anywhere. Anytime. Across all devices.

Find the slope and length of AB.
A(3, -1), B(5, -7)