Question

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

Explanation:

Step1: Identify two line points

The trend line passes through $(1, 0)$ and $(10, 10)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{10-0}{10-1}=\frac{10}{9}$

Step3: Find y-intercept $b$

Use $y=mx+b$ with $(1,0)$:
$0=\frac{10}{9}(1)+b$
$b=-\frac{10}{9}$

Step4: Write line equation

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

Answer:

$y=\frac{10}{9}x-\frac{10}{9}$