The graph of the linear equation 2x + 3y = 6 cuts the y – axis at th

1.	The graph of the linear equation 2x + 3y = 6 cuts the y – axis at the pointA. (2, 0)B. (0, 3)C. (3, 0)D. (0, 2)
Answer» D. (0, 2) Let 2x + 3y = 6 cut the y-axis at P. therefore at P x-coordinate = 0. Substituting x = 0, we get 2(0) + 3y = 6 3y = 6 y = 2 Hence the coordinates are (0, 2). A. (2, 0) is wrong because it has x = 2 B. (0, 3) is wrong because it has y = 3 C. (3, 0) is wrong because it has x = 3 D. (0, 2) is right because it has x = 0 and y = 2 which is equal to the coordinates (0,2) Hence, option D is the correct answer.

The graph of the linear equation 2x + 3y = 6 cuts the y – axis at the pointA. (2, 0)B. (0, 3)C. (3, 0)D. (0, 2)

Answer»

D. (0, 2)

Let 2x + 3y = 6 cut the y-axis at P. therefore at P x-coordinate = 0.

Substituting x = 0, we get

2(0) + 3y = 6

3y = 6

y = 2

Hence the coordinates are (0, 2).

A. (2, 0) is wrong because it has x = 2

B. (0, 3) is wrong because it has y = 3

C. (3, 0) is wrong because it has x = 3

D. (0, 2) is right because it has x = 0 and y = 2 which is equal to the coordinates (0,2)

Hence, option D is the correct answer.