Question

23. Draw the graphs of the following equations on the same graph sheet:
x - y = 0, x + y = 0, y + 5 = 0. Also, find the area enclosed between these lines.​

Answer 1

Answer:

The area between lines is 25 unit square.

Given: Equations x - y = 0, x + y = 0, y + 5 = 0.

To find : Draw the graph of the following equation. Also find the area included between the lines ?

Solution :

We plot the equations,

x - y = 0 by black line .

x + y = 0 by red line .

y + 5 = 0 by blue line .

The area enclosed by the lines is forming a triangle.

Refer the attached figure.

The triangle is with base 10 unit and height is 5 unit.

The area of the triangle is

${ \large{ \boxed{ \color{brown}{ A=\frac{1}{2}\times b\times h}}}}$

${ \color{brown}{A= \frac{1}{2} ×10×5}}$

${ \color{brown}{A=25}}$

The area between lines is 25 unit square.

Step-by-step explanation:

Hope this helps you ✌️

Answer 2

Answer:

Hope this image will help you.