4
Answer: CSet 3: Linear Equations
Explanation
The table below shows the linear relationship between x and y.
| x | y |
|---|---|
| 2 | 10 |
| 5 | 19 |
Which equation represents this relationship?
Which equation represents the relationship?
A.
y = 2x + 6
B.
y = 3x - 4
C.✓ Correct
y = 3x + 4
D.
y = 4x + 2
Detailed Explanation
Choice C is correct. Find slope: m = (19-10)/(5-2) = 9/3 = 3. Use point-slope with (2,10): y - 10 = 3(x - 2) => y = 3 x - 6 + 10 => y = 3 x + 4.
Key Steps:
•
The correct answer is y = 3x + 4
Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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