Question

draw the graph of line 4 x + 3 y is equal to 24 and line 3 y is equal to 4 x + 24 on the same line graph write the coordinates of point of intersection of this line and wethe area of triangle formed by this line and the x axis​

Answer 1

Explanation:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

 x   0   3y84

 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

  = 21×b×h

 = 21×6×8

 On further calculation we get 

 Area of the triangle =24 sq.units

Answer 2

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Explanation:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

 x   0   3y84

 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

  = 21×b×h

 = 21×6×8

 On further calculation we get 

 Area of the triangle =24 sq.units