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 approximately $(4,0)$ and $(6,7)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(4,0)$ and $(x_2,y_2)=(6,7)$ into the formula: $m=\frac{7 - 0}{6 - 4}=\frac{7}{2}$.

Step3: Use the point - slope form to find the y - intercept $b$

The slope - intercept form is $y=mx + b$. Use the point $(4,0)$ and $m = \frac{7}{2}$. Substitute into the equation: $0=\frac{7}{2}\times4 + b$. Simplify the right - hand side: $0 = 14 + b$, so $b=-14$.

Step4: Write the equation of the line

The equation of the line in slope - intercept form is $y=\frac{7}{2}x-14$.

Answer:

$y=\frac{7}{2}x - 14$