Question

select the correct answer.

which function passes through the points \\((2, 3)\\) and \\((4, 4)\\)?

\\(y = \frac{2}{3}x + 2\\)

\\(y = x + 4\\)

\\(y = \frac{1}{2}x + 2\\)

\\(y = 2x + 3\\)

\\(y = 2x + \frac{1}{2}\\)

Explanation:

Calculate the slope of the line

Using the Slope of a Line knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 3}{4 - 2} = \frac{1}{2} $$

Determine the equation of the line

Using the Linear Equations knowledge point

$$
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$$

Answer:

• (A) \(y = \frac{2}{3}x + 2\)
• (B) \(y = x + 4\)
• (C) \(y = \frac{1}{2}x + 2\) (Correct answer)
• (D) \(y = 2x + 3\)
• (E) \(y = 2x + \frac{1}{2}\)