Question

Find the coordinates of points where the graph of x + 2y = 6 intersects x-axis and y-axis.​

Answer 1

EXPLANATION.

Co-ordinate of the points where the graph : x + 2y = 6.

As we know that,

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

⇒ (0) + 2y = 6.

⇒ 2y = 6.

⇒ y = 3.

Their Co-ordinates = (0,3).

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

⇒ x + 2(0) = 6.

⇒ x = 6.

Their Co-ordinates = (6,0).

It intersects x-axis = (6,0).

It intersects y-axis = (0,3).

Answer 2

given★

• x + 2y = 6

find

• graph of x + 2y = 6 intersects x-axis and y-axis.

solution★

• $x + 2y = 6$
• can we be written as

• $x = 6 - 2y$
• when y=3

• $x = 6- 2(3) \\ \\ x = 6 - 6 \\ \\ = 0$
• get cordinat (0,3)

• when y =0

• $x = 6 - 2(0) \\ \\ x = 6$
• get cordinat (6,0)

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intersects x-axis= (6,0)

intersects y-axis.=(0,3)

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hope it helps you