Question

6. What are the coordinates of the point of intersection of the graph of the equation 4x – 3y=11 with the X-axis? А) В (A) (0) (B) (0,4) ((4.0) (D) (0 , 1) ​

Answer 1

Answer:

Step-by-step explanation:

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