Question

what is the equation of the trend line in the scatter plot?

Explanation:

Step1: Find two points on the trend - line

Let's take the points (4, 2) and (8, 9).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points: $m=\frac{9 - 2}{8 - 4}=\frac{7}{4}=1.75$.

Step3: Use the point - slope form $y - y_1=m(x - x_1)$

Using the point (4, 2) and $m = 1.75$, we have $y-2 = 1.75(x - 4)$.

Step4: Simplify to slope - intercept form $y=mx + b$

$y-2=1.75x-7$, so $y = 1.75x-5$.

Answer:

$y = 1.75x-5$