1.

8. Draw the graph of the line 4x + 3y = 24(1) Write the coordinates of the points where this line intersectsx-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»

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


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