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Writing Linear Equations

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1. Find the equation of the line. Write the equation using function notation. Please show work.

Through (4,-5); perpendicular to 6y=x-12
The equation of the line is f(x) =____________________.

2. Please Show all work: In 2006, the median price of an existing home in some country was approximately $230,450. In 2001, the median price of an existing home was $157,700. Let y be the median price of an existing home in the year x, where x = 0 represents 2001.

a. Write a linear equation that models the median existing home price in terms of the year x. [Hint: The line must pass through the points (0,157700) and (5, 230450)].
Y=_____________________ (answer in slope-intercept form).

b. Use this equation to predict the median existing home price for the year 2010.
y=$___________________.

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Solution Preview

1. Through (4,-5); perpendicular to 6y=x-12
The equation of the line is f(x) =____________________

The slope for 6y=x-12 is 1/6.
The slope that is perpendicular to the line above is ...

Solution Summary

The solution writes linear equations using function notations. The equation of line perpendiculars are determined.

$2.19