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 coefficient as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Identify the two - yellow points

The two yellow points are $(0,4)$ and $(8,9)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(8,9)$. Then $m=\frac{9 - 4}{8 - 0}=\frac{5}{8}$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point $(0,4)$, $b = 4$.

Step4: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m=\frac{5}{8}$ and $b = 4$, we get $y=\frac{5}{8}x+4$.

Answer:

$y=\frac{5}{8}x + 4$