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 yellow points

From the scatter plot, the two yellow points are \((10, 0)\) and \((80, 70)\).

Step2: Calculate the slope (\(m\))

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 10\), \(y_1 = 0\), \(x_2 = 80\), \(y_2 = 70\):

$$ m=\frac{70 - 0}{80 - 10}=\frac{70}{70}=1 $$

Step3: Find the y - intercept (\(b\))

Using the slope - intercept form \(y = mx + b\) and the point \((10, 0)\) with \(m = 1\):
Substitute \(x = 10\), \(y = 0\), and \(m = 1\) into \(y=mx + b\):

$$ 0=1\times10 + b $$

Solve for \(b\):

$$ b=0 - 10=- 10 $$

Step4: Write the equation

The slope - intercept form is \(y=mx + b\). Substituting \(m = 1\) and \(b=-10\):

$$ y=x - 10 $$

Answer:

\(y = x-10\)