Chapter 1: Q 33. (page 51)

Show that the points $A (2, 5), B (6, 1)$ and
$C (8, - 1)$ lie on a straight line by using slopes.

Short Answer

Expert verified

Since all three slopes $m_{1,} m_{2}, m_{3}$ are same so they are lie on a straight line.

Step by step solution

Step 1. Given information.

Consider the given information such that the points $A (2, 5), B (6, 1)$ and $C (8, - 1)$ .

Step 2. Using the slope formula .m=y2-y1x2-x1

Formula used to calculate slope between $A$ and $B$ , $B$ and $C$ , $C$ and $A$ .

$m_{A B} = \frac{1 - 5}{6 - 2} m_{A B} = - 1$

Similarly, $m_{B C} = - 1$ and $m_{C A} = - 1$ .

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Show that the points $A (2, 5), B (6, 1)$ and
$C (8, - 1)$ lie on a straight line by using slopes.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Using the slope formula .m=y2-y1x2-x1

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Show that the points A2,5,B6,1andC8,-1lie on a straight line by using slopes.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Using the slope formula .m=y2-y1x2-x1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Show that the points $A (2, 5), B (6, 1)$ and
$C (8, - 1)$ lie on a straight line by using slopes.