Question

what is the slope of a trend line that passes through the points \\((-3, 3)\\) and \\((18, 26)\\)?

\\(\bigcirc\\) \\(\frac{15}{29}\\)

\\(\bigcirc\\) \\(\frac{21}{23}\\)

\\(\bigcirc\\) \\(\frac{23}{21}\\)

\\(\bigcirc\\) \\(\frac{29}{15}\\)

Explanation:

Identify the given points

$$ (x_1, y_1) = (-3, 3),\quad (x_2, y_2) = (18, 26) $$

Apply the slope formula

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

Calculate the slope value

$$ m = \frac{26 - 3}{18 - (-3)} = \frac{23}{18 + 3} = \frac{23}{21} $$

Answer:

• (A) \(\frac{15}{29}\)
• (B) \(\frac{21}{23}\)
• (C) \(\frac{23}{21}\) (Correct answer)
• (D) \(\frac{29}{15}\)