Question

what is the equation of the trend line in the scatter plot?
use the two blue points to write the equation in slope - intercept form. write any coefficients as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Identify the two points

The two blue points are (4, 9) and (7, 3).

Step2: Calculate the slope (m)

The formula for slope is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).
Substituting the values: \( m = \frac{3 - 9}{7 - 4} = \frac{-6}{3} = -2 \).

Step3: Use point-slope form to find the equation

Using the point (4, 9) and slope \( m = -2 \), the point-slope form is \( y - y_1 = m(x - x_1) \).
Substituting: \( y - 9 = -2(x - 4) \).

Step4: Convert to slope-intercept form (y = mx + b)

Expanding the right side: \( y - 9 = -2x + 8 \).
Adding 9 to both sides: \( y = -2x + 17 \).

Answer:

\( y = -2x + 17 \)