alleryThe equation of the line which contains every point of the form (x, 2x + 3) is:
Ay = 2x − 3
By = 3x − 2
Cy = 3x + 2
Dy = 2x + 3
Answer & Solution
Correct answer: D. y = 2x + 3
1. Every point on the line is given as (x, 2x + 3), so the y-coordinate equals 2x + 3 for any chosen x.
2. Writing this as a relation: y = 2x + 3.
3. So the line's equation is y = 2x + 3.
4. Verify with two values: x = 0 gives (0, 3); x = 1 gives (1, 5). Both satisfy y = 2x + 3.
5. So y = 2x + 3 is the equation.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 9-11 (pp 227-246, 2019 ed.)._
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