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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
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Solving Systems of linear equations

Systems of linear equations

Books and magazines. At Gwen's garage sale, all books were one price, and all magazines were another price.
Harriet bought four books and three magazines for $1.45,and June bought two books and five magazines for $1.25.
What was the price of a book and what was the price of a magazine?

Solving by Substitution

Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.

y=-3x+19
y=2x-1

y=-4x-7
y=3x

y=x+4
3y-5x=6

The Addition Method
Solve each system by addition.

x-2y=-1
-x+5y=4

3x-5y=-11
x-2y=11

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