Question

what is the equation of the trend line in the scatter plot? use the two blue points to write the equation in slope - intercept form. write any coefficients as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Find the slope

The two blue points are \((0,1)\) and \((6,6)\).
The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 0,y_1=1,x_2 = 6,y_2 = 6\) into the formula:
\(m=\frac{6 - 1}{6 - 0}=\frac{5}{6}\)

Step2: Find the \(y\) - intercept

The slope - intercept form is \(y=mx + b\).
When \(x = 0\), \(y=b\). From the point \((0,1)\), we get \(b = 1\).

Step3: Write the equation

Substitute \(m=\frac{5}{6}\) and \(b = 1\) into \(y=mx + b\).
The equation is \(y=\frac{5}{6}x+1\)

Answer:

\(y=\frac{5}{6}x + 1\)