Which of the following points lies on the line y = 2x + 3?
(a) (2, 8)
(b) (3, 9)
(c) (4, 12)
(d) (5, 15)

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Solution

(b) (3,9)

Explanation:
Point (2,8) does not satisfy the equation y = 2x + 3. (∵ y = 2 × 2 + 8 = 12 $\neq$ 8)
Point (3,9) satisfy the equation y = 2x + 3. (∵ y =2 × 3 + 3 = 9)
Point (4,12) does not satisfy the equation y = 2x + 3. (∵ y = 2 × 4 + 3 = 11 $\neq$ 12)
Point (5,15) does not satisfy the equation y = 2x +3. (∵ y= 2 × 5 + 3 = 13 $\neq$ 15)
Hence, the point (3,9) lies on the line y = 2x +3.

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