Draw the graph of line `4x+3y=24` Write the coordinates of points where this line intersects the x-axis and y-axis. Use this graph to find the area of the triangle formed by the line and the coordinates axes.

Explanation

"Solution
It is given
'4x+3y=24'
We can also write it as
'3y=24−4x
y=3/(24−4x)'
Substituting 'x=0' in the given equation
'y=3/(24−4(0))'
So we get
' y= 3/24'
By division
'y=8'
Substituting 'x=3' in the given equation
'y= 3/(24−4(3))'
So we get
'y= 3/12'
BY division
'y=4'
'x 0 3
y 8 4'
Now draw a graph using the points 'A(0,8)' and 'B (3,4)'
Join the points AB through a line and extend in both the direction
(i) From the graph, we know that the line AB intersects at point 'C (6,0)' on the X-axis and 'A(0,8)' on the y-axis.
(ii) From the graph
area of the triangle = Area of '/_\ADC
= 2/1×b×h
= 2/1×6×8'
On further calculation we get
Area of the triangle ='24'sq.units"