Question

the graph of linear equation 3x-y=2 cuts the y axis at?

Answer 1

Given : linear equation, 3x - y = 2 cuts the y - axis.

To find : equation, 3x - y = 2 cuts the y - axis at the point.

solution : at y - axis , value of x = 0

so putting x = 0 in equation, 3x - y = 2

⇒3 × 0 - y = 2

⇒y = -2

Therefore the graph of linear equation, 3x - y = 2 cuts the y - axis at (0, -2).

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Answer 2

Line cuts the Y-axis at (0, -2)

Step-by-step explanation:

Given: Linear equation 3x - y = 2.

Find: Where the line cuts Y-axis.

Solution: As mentioned, 3x - y = 2 is a linear equation. So the graph when plotted will be a straight line.

 x   -2   -1   0    1    2

 y    -8    -5  -2   1    4

The points (-2, -8), (-1, -5), (0, -2), (1,1) and (2.4) lie on the straight line.

For the line to cut the y-axis, the co-ordinate of x will be 0 at that point. From the above points, we can see that (0, -2) has x coordinate zero. The line will cut the Y-axis at this point.

Please find the picture attached.