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 $(x_{1}, y_{1}) a n d (x_{3}, y_{3})$ .

Short Answer

Expert verified

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

Step by step solution

Step-1 – Determine the points.

We know that $x_{1} = 1988, y_{1} = 247, x_{3} = 1998 a n d y_{3} = 461$

Thus, the coordinates are $(x_{1}, y_{1}) = (1988, 247) a n d (x_{2}, y_{2}) = (1998, 461)$

Step-2 – Calculate the slope.

Substitute $(x_{1}, y_{1}) = (1988, 247) a n d (x_{2}, y_{2}) = (1998, 461)$ into the formula $s l o p e = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$\begin{array}{l} m = \frac{461 - 247}{1998 - 1988} \\ m = \frac{214}{10} \\ m = 21.4 \end{array}$

Step-3 – Make the equation.

Substitute $(x_{1}, y_{1}) = (1988, 247)$ into $y - y_{1} = m (x - x_{1})$ .

$\begin{array}{l} y - 247 = 21.4 (x - 1988) \\ y - 247 = 21.4 x - 42, 543.2 \\ y = 21.4 x - 42, 296.2 \end{array}$

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

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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 $(x_{1}, y_{1}) a n d (x_{3}, y_{3})$ .

Short Answer

Step by step solution

Step-1 – Determine the points.

Step-2 – Calculate the slope.

Step-3 – Make the equation.

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Most popular questions from this chapter

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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) and (x3,y3).

Short Answer

Step by step solution

Step-1 – Determine the points.

Step-2 – Calculate the slope.

Step-3 – Make the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Pure Maths

Discrete Mathematics

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

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 $(x_{1}, y_{1}) a n d (x_{3}, y_{3})$ .