Which point lies on the equation y = x + 5?
Answer and explanation
Correct answer: (2, 7)
The governing concept is membership of a point on a line. An ordered pair (x, y) lies on y = x + 5 only when its coordinates satisfy the equation. For option B, x = 2 and y = 7; substituting gives x + 5 = 2 + 5 = 7, exactly the stated y-value. Option A gives 5 + 5 = 10, not 5. Option C gives 7 + 5 = 12, not 2, and option D gives 0 + 5 = 5, not 4. Hence (2, 7) is the only point on the line, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
(2, 7)
Why is this the correct answer?
The governing concept is membership of a point on a line. An ordered pair (x, y) lies on y = x + 5 only when its coordinates satisfy the equation. For option B, x = 2 and y = 7; substituting gives x + 5 = 2 + 5 = 7, exactly the stated y-value. Option A gives 5 + 5 = 10, not 5. Option C gives 7 + 5 = 12, not 2, and option D gives 0 + 5 = 5, not 4. Hence (2, 7) is the only point on the line, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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