Question

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

The yellow points are $(2, 1)$ and $(6, 7)$.

Step2: Calculate the slope

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{7-1}{6-2}=\frac{6}{4}=\frac{3}{2}$

Step3: Find y-intercept $b$

Use $y=mx+b$ with $(2,1)$:
$1=\frac{3}{2}(2)+b$
$1=3+b$
$b=1-3=-2$

Step4: Write slope-intercept form

Substitute $m=\frac{3}{2}$ and $b=-2$ into $y=mx+b$.

Answer:

$y=\frac{3}{2}x-2$