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 - point coordinates

The two yellow points are $(2,0)$ and $(7,5)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(2,0)$ and $(x_2,y_2)=(7,5)$ into it. So $m=\frac{5 - 0}{7 - 2}=\frac{5}{5}=1$.

Step3: Find the $y$ - intercept $b$

The slope - intercept form is $y = mx + b$. Substitute $m = 1$ and the point $(2,0)$ into it: $0=1\times2 + b$. Solve for $b$: $b=-2$.

Step4: Write the equation

The equation of the line in slope - intercept form is $y=mx + b$. Substitute $m = 1$ and $b=-2$ into it, we get $y=x - 2$.

Answer:

$y=x - 2$