Question

Draw a graph of 2x + y =6 and find the points where the graph meets the y axis

Answer 1

$2x + y = 6 \\ y = 6 - 2x \\ \\ \\ putting \: x = 0 \: then \\ \\ y = 6 - 2(0) \\ y = 6 - 0 \\ y = 6 \\ \\ putting \: x = 1 \\ \\ y = 6 - 2(1) \\ y = 4 \\ \\ putting \: x = 2 \\ \\ y = 6 - 2(2) \\ y = 6 - 4 \\ y = 2$

So ,the graph intersect y where x is 0
is...

$(0 \: \: 6)$

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Answer 2

The correct answer is (0, 6).

Given: The equation of line = 2x + y =6.

To Find: The points where the graph meets the y axis.

Solution:

For point where the graph meets y axis, put x = 0.

As in y axis the x coordinate is always 0.

2x + y =6

2(0) + y = 6

y = 6

Hence, the point where the graph meets the y axis is (0, 6).

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