Question

Write the coordinates of the point where the graph of linear equation 2x +3y = 6 cuts the y axis.​

Answer 1

$x = 0 \\ 2(0) + 3y = 6 \\ y = 2$

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hence it will cut y axis at (0,2)

Answer 2

$\sf\huge\bold{Answer:}$

Given :

Linear equation 2x+3y=6

To find :

coordinates of the point where the graph of linear equation 2x +3y = 6 cuts the y axis.

Solution :

The condition is mentioned that the linear equation cuts the y axis.

This indicates that the coordinates are of the form

⇒(0,y)

Moving further,this condition gets satisfied when x = 0 in the linear equation 2x +3y = 6

So,putting value of x = 0 in the above equation , we get

$⇒2x +3y = 6 \\ ⇒2(0)+3y=6 \\ ⇒0+3y=6 \\ ⇒3y=6 \\ ⇒y = \frac{6}{3} \\ ⇒y = 2$

So,the coordinates of the point formed by step by step explanation where the graph of linear equation 2x +3y = 6 cuts the y axis is

$(0,2)$