Question

Q. Draw the grap generated by the equation x/3+x/4=1. Determine the area of the triangle produced by the drawn line and the coordinate axes.
please explain step by step..​

Answer 1

Answer:

x

+

4

y

=1

⇒

12

4x+3y

=1

⇒4x+3y=12

x=

4

12−3y

Let the graph cut the x-axis at A(3,0) and y-axis at B(0,4)

Then ΔAOB is a right-angled.

Base OA=3 units, Height OB=4 units

Area of the triangle=

2

1

× base× height

=

2

1

×3×4

=6 sq.units.