Question

8. Draw the graph of the line 4x + 3y = 24
(1) Write the coordinates of the points where this line intersects
x-axis and the y-axis.
(1) Use this graph to find the area of the triangle formed by the graph
line and the coordinate axelis​

Answer 1

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

Didi plz mark as brainlist