Question

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

Explanation:

Step1: Find the slope (m)

The two yellow - points are (0, 7) and (8, 4). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 7,x_2 = 8,y_2 = 4$. So, $m=\frac{4 - 7}{8 - 0}=\frac{-3}{8}$.

Step2: Find the y - intercept (b)

The y - intercept is the y - value when $x = 0$. From the point (0, 7), $b = 7$.

Step3: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m =-\frac{3}{8}$ and $b = 7$, we get $y=-\frac{3}{8}x+7$.

Answer:

$y =-\frac{3}{8}x + 7$