Question

a line of best fit was drawn to the plotted points in a data set below. based on the line of best fit, for what y - value does x = 18?

Explanation:

Step1: Find the slope of the line

Use the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Take two points \((0,1)\) and \((3,3)\).
\(m=\frac{3 - 1}{3 - 0}=\frac{2}{3}\)

Step2: Use the point - slope form \(y - y_1=m(x - x_1)\)

Using the point \((0,1)\) and \(m = \frac{2}{3}\), the equation is \(y-1=\frac{2}{3}(x - 0)\), which simplifies to \(y=\frac{2}{3}x+1\)

Step3: Substitute \(x = 18\) into the equation

\(y=\frac{2}{3}\times18+1\)
\(y = 12 + 1\)

Answer:

\(13\)