Question

Draw the graph of the equation 2x + y = 6. Find the co-ordinate of the point, where
the graph cuts the x - axis.​

Answer 1

EXPLANATION.

Graph of the equation.

⇒ 2x + y = 6.

As we know that,

Put the value of x = 0 in the equation, we get.

⇒ 2(0) + y = 6.

⇒ y = 6.

Their Co-ordinates = (0,6).

Put the value of y = 0 in the equation, we get.

⇒ 2x + (0) = 6.

⇒ 2x = 6.

⇒ x = 3.

Their Co-ordinates = (3,0).

The Co-ordinates of the point where the graph cuts x-axis = (3,0).

Answer 2

Answer:

Question :-

• To draw a graph of the equation 2x+y=6.Find the coordinate of the point , where the graph cuts the x -axis.

Given :-

• A equation that is ,

$\mathcal\purple{2x+y=6}$

To prove :-

• Here we should find the co-ordinate of the points.

Explanation :-

• As we know from the question, given that a equation.

Now,

• Put the value of x as 0 in the given equation we get that,

• $2x + y = 6$

• $2(0) + y = 6$

• $y = 6$

$\mathcal\red {♧Therefore:-}$

• Co-ordinate points=(0,6)

♧Next ,

• Put the value of y=0 in the given equation we get that,

• $2x + y = 6$

• $2x + (0) = 6$

• $2x = 6$

• $x = \frac{6}{2} = 3$

♧Therefore,

• Coordinate points are (3,0)

$\mathcal\red{Hence:- }$

• The co-ordinates of the points where the points cuts the x-axis =(3,0).

$\mathcal\purple{Conclusion:-}$

• If u have any doubt in this answer you can refer the given attachment for graph of your answer.

♧Hope it helps u mate .

♧Thank you .