Question

Draw the graph of the equation x−2=6 .Shade the triangle formed by the line and the two axes. Also find the area of the triangle.

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Answer 1

EXPLANATION.

Graph of the equation.

⇒ x - 2y = 6.

As we know that,

Put the value of x = 0 in the equation, we get.

⇒ (0) - 2y = 6.

⇒ - 2y = 6.

⇒ y = - 3.

Their Co-ordinates = (0,-3).

Put the value of y = 0 in the equation, we get.

⇒ x - 2(0) = 6.

⇒ x = 6.

Their Co-ordinates = (6,0).

As we know that,

Area of triangle = 1/2 x Base x Height.

⇒ Height = - 3.

⇒ Base = 6 - 0 = 6.

Area of triangle = 1/2 x 6 x (-3).

Area of triangle = - 9 sq. units.

Area cannot be negative, So - 9 = |-9| = 9 sq. units.

Answer 2

Solution:-

first we need to draw graph of the equation

→ X-2y=6

Graph can be drawn by taking two or more points.

by putting x=2 , y comes out =-2

again putting x=4 , y comes out =-1

→ Now we have two points (2,-2) and (4,-1)

→ Putting these values on graph we get a plane and area of the plane is

→ 1/2 x base x height

→ 1/2 x 6 x 3

→ 9

$\huge\boxed{\mathtt{Answer- 9sq.units}}$