Question

The area of the triangle formed by the line 2x+3y =12 with coordinate axes is

Answer 1

Answer:

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Answer 2

Answer:

12 sq. units.

Step-by-step explanation:

First, let the equation be in terms of y.

So,

→2x + 3y = 12

→3y = 12 - 2x

→y = (12 - 2x)/3

→y = 4 - 2x/3

Putting 3 as the value of x.

→y = 4 - 2(3)/3

→y = 4 - 2

→y = 2

Putting 6 as the value of x.

→y = 4 - 2(6)/3

→y = 4 - 2(2)

→y = 4 - 4

→y = 0

Thus the respective values of y are 2 and 0 when the values of x are 3 and 6.

Forming a line for the equation...

{Kindly refer to the attachment graph.}

In Triangle AYN from the graph,

Lenght of height: 4 units

Lenght of base: 6 units

Area of triangle AYN: 1(b × h)/2

→1(4 × 6)/2

→(24)/2

→12

Hence, the area of the Triangle formed in the graph is 12 sq. units.

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