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: Identify the two yellow points

From the graph, the yellow points are $(3, 0)$ and $(8, 5)$.

Step2: Calculate the slope $m$

Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute points: $m = \frac{5 - 0}{8 - 3} = \frac{5}{5} = 1$

Step3: Find the y-intercept $b$

Use point $(3, 0)$ and $m = 1$ in $y = mx + b$:
$0 = 1(3) + b \implies b = -3$

Step4: Write the equation

$y = 1x - 3$ (simplified to $y = x - 3$? Wait correction: Wait the yellow points—wait recheck: Wait the lower yellow point is (3,0)? No wait maybe I misread: Wait the trend line passes through (3,0) and (8,5)? Wait slope is (5-0)/(8-3)=1, intercept is -3, so equation is $y = x - 3$. Yes that's correct.

Wait final answer: $y = x - 3$

Step1: Identify yellow points

Points: $(3,0)$ and $(8,5)$

Step2: Compute slope $m$

$m = \frac{5-0}{8-3} = 1$

Step3: Solve for y-intercept $b$

$0 = 1(3) + b \implies b = -3$

Step4: Form the equation

$y = x - 3$

Answer:

$y = x$