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 points

The two yellow points are \((0, 70)\) and \((70, 40)\).

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

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substituting the points \((x_1,y_1)=(0,70)\) and \((x_2,y_2)=(70,40)\):
\(m=\frac{40 - 70}{70 - 0}=\frac{-30}{70}=-\frac{3}{7}\)

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

The y-intercept is the value of \(y\) when \(x = 0\). From the point \((0, 70)\), \(b = 70\).

Step4: Write the equation in slope - intercept form (\(y=mx + b\))

Substitute \(m=-\frac{3}{7}\) and \(b = 70\) into the formula:
\(y=-\frac{3}{7}x + 70\)

Answer:

\(y = -\frac{3}{7}x + 70\)