Question

what is the slope of a trend line that passes through the points (1, 3) and (10, 25)?

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

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

\\(\frac{22}{9}\\)

\\(\frac{24}{7}\\)

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (1, 3),\quad (x_2, y_2) = (10, 25) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{25 - 3}{10 - 1} $$

Simplify the expression

$$ m = \frac{22}{9} $$

Answer:

• (A) \(-\frac{15}{2}\)
• (B) \(-\frac{1}{2}\)
• (C) \(\frac{22}{9}\) (Correct answer)
• (D) \(\frac{24}{7}\)