Question

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

\\(\bigcirc \frac{1}{4}\\)
\\(\bigcirc \frac{2}{3}\\)
\\(\bigcirc 2\\)
\\(\bigcirc -\frac{1}{2}\\)

Explanation:

Identify coordinates

$$ (x_1, y_1) = (4, 3),\quad (x_2, y_2) = (6, 7) $$

Apply slope formula

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

Simplify the value

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

Answer:

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