what is the equation of the trend line in the scatter plot?\nuse the two blue points to write the equation…

Explanation:

Step1: Identify blue points

The blue points are $(4, 0)$ and $(8, 7)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ $m=\frac{7-0}{8-4}=\frac{7}{4}$

Step3: Find y-intercept $b$

Substitute $(4,0)$ and $m=\frac{7}{4}$ into $y=mx+b$: $0=\frac{7}{4}(4)+b$ $0=7+b$ $b=-7$

Step4: Write slope-intercept equation

Substitute $m$ and $b$ into $y=mx+b$.

Answer:

$y=\frac{7}{4}x - 7$