Chapter 13: Q. 15 (page 532)

Find the slope and length of AB.
A(0, -9), B(8, -3)

Short Answer

Expert verified

The slope of the line is 0.75 and the length of the line is 10 units.

Step by step solution

Step-1 – Given

The given pointsare A(0, -9) and B(8, -3).

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(0, -9) and B(8, -3).

$m = \frac{(- 3) - (- 9)}{(8) - (0)} = \frac{6}{8} = 0.75$

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

$\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} = \sqrt{{(8 - (0))}^{2} + {(- 3 - (- 9))}^{2}} = \sqrt{100} = 10$

So, the slope of the line is 0.75 and the length of the line is 10 units.

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Find the slope and length of AB.
A(0, -9), B(8, -3)

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(0, -9), B(8, -3)

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

Probability and Statistics

Applied Mathematics

Logic and Functions

Mechanics Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the slope and length of AB.
A(0, -9), B(8, -3)