a line of best fit was drawn to the plotted points in a data set below. based on the line of best fit, for…
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?
Answer
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)