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 at \((20, 0)\) and \((60, 70)\).

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

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the points:
\(m = \frac{70 - 0}{60 - 20} = \frac{70}{40} = \frac{7}{4}\)

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

Using the slope-intercept form \(y = mx + b\) and the point \((20, 0)\):
\(0 = \frac{7}{4}(20) + b\)
\(0 = 35 + b\)
\(b = -35\)

Step4: Write the equation

Substitute \(m = \frac{7}{4}\) and \(b = -35\) into \(y = mx + b\):
\(y = \frac{7}{4}x - 35\)

Answer:

\(y = \frac{7}{4}x - 35\)