Question

Draw the graph of the line x-y =3.Find the coordinates of the points where it intersects both the axis.​

Answer 1

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

solution

Answer 2

Answer:

there are multiple answers of it

which satisfied values of x & y

so here are some of them:

x y

1 -2

2 -1

3 0

to check it

1-(-2)=3

2-(-1)=3

3-0=3

let's draw it