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Chapter 2: Q26. (page 86)

For exercise 25-30, use the following information.

A median-fit line is a particular type of line of fit. Follow the steps below to find the equation of the median-fit line for the data.

Find an equation of the line through (x1,y1)鈥�and鈥�鈥�(x3,y3).

Short Answer

Expert verified

The equation of line is y=21.4x-42,296.2.

Step by step solution

01

Step-1 – Determine the points.

We know that x1=1988,y1=247,x3=1998鈥�鈥�and鈥�鈥�y3=461

Thus, the coordinates are (x1,y1)=(1988,247)鈥�鈥�and鈥�鈥�(x2,y2)=(1998,461)

02

Step-2 – Calculate the slope.

Substitute (x1,y1)=(1988,247)鈥�鈥�and鈥�鈥�(x2,y2)=(1998,461) into the formula slope=y2-y1x2-x1

m=461鈭�2471998鈭�1988m=21410m=21.4

03

Step-3 – Make the equation.

Substitute (x1,y1)=(1988,247)鈥�into y-y1=m(x-x1).

y鈭�247=21.4(x鈭�1988)y鈭�247=21.4x鈭�42,543.2y=21.4x鈭�42,296.2

The equation of line is y=21.4x-42,296.2.

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