The line y = -x + 4 passes through which of the following points?

Question

The line y = -x + 4 passes through which of the following points?

1. A. (2, 2) (Correct answer)
2. B. (5, 4)
3. C. (1, 2)
4. D. (3, 6)

Correct Answer

Option A — (2, 2)

Detailed Solution & Explanation

The correct answer is (2, 2).

Key Points

• A point lies on a line only if its coordinates satisfy the equation, so substitute and test.
• For $(2, 2)$: $-2 + 4 = 2$, which matches the y-coordinate ✓
• The other points fail: $(5,4) \to -1$, $(1,2) \to 3$, $(3,6) \to 1$.

Additional Information

• $y = -x + 4$ is in slope-intercept form, with slope $-1$ and y-intercept 4, so it falls one unit for every unit right.
• Every point on it satisfies $x + y = 4$ — a faster test than substituting each time.
• It meets the axes at $(4, 0)$ and $(0, 4)$, which is enough to sketch it in seconds.

प्रश्न (हिन्दी में)

रेखा y = -x + 4 निम्नलिखित में से किस बिंदु से होकर गुजरती है?

1. A. (2, 2)
2. B. (5, 4)
3. C. (1, 2)
4. D. (3, 6)