Question

what is the slope of a trend line that passes through the points (5, 80) and (7, 65)?

\\( -\frac{15}{2} \\)

\\( -\frac{2}{15} \\)

\\( \frac{2}{15} \\)

\\( \frac{15}{2} \\)

Explanation:

Identify the given points

$$ (x_1, y_1) = (5, 80),\quad (x_2, y_2) = (7, 65) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} $$

Calculate the slope value

$$ m = \frac{65 - 80}{7 - 5} = \frac{-15}{2} = -\frac{15}{2} $$

Answer:

• (A) \(-\frac{15}{2}\) (Correct answer)
• (B) \(-\frac{2}{15}\)
• (C) \(\frac{2}{15}\)
• (D) \(\frac{15}{2}\)