Chapter 11: Q. 13 (page 1082)

In the following exercise- $(0, - 5) a n d (4, - 3)$
(a ) find the midpoint of the line segments whose endpoints are given and,
(b) plot the endpoints and the
midpoint on a rectangular coordinate system.

Short Answer

Expert verified

(a) The mid point of the given points is $(2, - 4)$ .
(b) Plotting the points on the coordinate system gives us,

Step by step solution

Step 1. Given and explanation.

We have the points as $(0, - 5) a n d (4, - 3)$ .

We will use the formula for calculating mid point of two given points, i.e., $(x_{1}, y_{1}) a n d (x_{2}, y_{2})$ . Formula is-
Midpoint= $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Plotting all the three points give us the graph.

Step 2. Finding the mid point.

Consider $(0, - 5)$ as $(x_{1}, y_{1})$ and $(4, - 3)$ as $(x_{2}, y_{2})$ .

Substituting the values in the formula gives us,

Midpoint= $(\frac{(0 + 4)}{2}, \frac{- 5 + (- 3)}{2})$
$= (\frac{4}{2}, \frac{- 8}{2}) = (2, - 4)$
Thus we get the mid point as $(2, - 4)$ .

Step 3. Sketching the line.

Plotting all the three points on the rectangular coordinate plane gives us,

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In the following exercise- $(0, - 5) a n d (4, - 3)$
(a ) find the midpoint of the line segments whose endpoints are given and,
(b) plot the endpoints and the
midpoint on a rectangular coordinate system.

Short Answer

Step by step solution

Step 1. Given and explanation.

Step 2. Finding the mid point.

Step 3. Sketching the line.

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In the following exercise-(0,-5)and(4,-3)(a ) find the midpoint of the line segments whose endpoints are given and,(b) plot the endpoints and themidpoint on a rectangular coordinate system.

Short Answer

Step by step solution

Step 1. Given and explanation.

Step 2. Finding the mid point.

Step 3. Sketching the line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Calculus

Geometry

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercise- $(0, - 5) a n d (4, - 3)$
(a ) find the midpoint of the line segments whose endpoints are given and,
(b) plot the endpoints and the
midpoint on a rectangular coordinate system.