Question

draw a graph of the equation 2x+3x=6 and find the area of the triangle formed by the line between the axes​

Answer 1

Answer:

3 sq. units

Step-by-step explanation:

This answer must be read by the reference to the graph that is attached to the answer.

We notice that the triangle formed by the intersection of the given line and coordinate axes is right angled at the origin since coordinate axes are perpendicular to each other.

The triangle formed is a right angled triangle.

We know that, the area of a right angled triangle is equal to the half of the product of the sides containing the right angle.

Hence, area of the given triangle can be calculated as follows,

$\frac{1}{2} \times 2 \times 3 \\ = 3 \: sq. \: units$

Therefore, required area = 3 sq. units