Question

6. Draw the graph
or the graph of x + 3y = 6 and find the area of the triangle formed by this line and the coordinate axes.​

Answer 1

Given eq. ;

• x + 3y = 6
• x = 6 -3y

y = 1------> x = 3 = point A

y = 0 ------> x = 6 = point B

y = 2 ------> x = 0 = pointC

The graph is given with the answer

Thus area of the ∆ =

$\frac{1}{2} \times b \times h \\ \implies \: \frac{1}{2} \times 6 \times 2 \\ \implies \: 6 \: {units}^{2}$