Question

determine the slope that passes through the points (4,3) and (6,7).

\\(2\\)

\\(\frac{2}{3}\\)

\\(-\frac{1}{2}\\)

\\(\frac{1}{4}\\)

Explanation:

Identify the given coordinates

Using the Slope Formula knowledge point

$$ (x_1, y_1) = (4, 3) \quad \text{and} \quad (x_2, y_2) = (6, 7) $$

Apply the slope formula

Using the Slope Formula knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - 3}{6 - 4} $$

Simplify the expression

Using the Slope Formula knowledge point

$$ m = \frac{4}{2} = 2 $$

Answer:

• (A) 2 (Correct answer)
• (B) \(\frac{2}{3}\)
• (C) \(-\frac{1}{2}\)
• (D) \(\frac{1}{4}\)