Question

which is the equation of a trend line that passes through the points (3, 95) and (11, 12)? round values to the nearest ten-thousandths.

\\(y = -10.375x + 126.125\\)
\\(y = -0.096x + 13.056\\)
\\(y = 0.096x + 10.944\\)
\\(y = 10.375x + 63.875\\)

Explanation:

Calculate the slope of the line

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 95}{11 - 3} = \frac{-83}{8} = -10.375 $$

Determine the y-intercept

$$
LATEXBLOCK0
$$

Answer:

• (A) \(y = -10.375x + 126.125\) (Correct answer)
• (B) \(y = -0.096x + 13.056\)
• (C) \(y = 0.096x + 10.944\)
• (D) \(y = 10.375x + 63.875\)