5 Chapter Test

Do you know HOW?

Write an equation in slope-intercept form of each line.

Write an equation in point-slope form of the line through the given point and with the given slope.

3. ( 5 , 1 ) ; m = 1 3 open 5 comma 1 close semicolon m equals , 1 third
4. ( − 2 , 3 ) ; m = − 2 open negative 2 comma 3 close semicolon m equals negative 2

Write each equation in standard form using integers.

5. y = 3 4 x + 5 y equals , 3 fourths , x plus 5
6. y + 4 = 1 3 ( x + 6 ) y plus 4 equals , 1 third , open x plus 6 close

Graph each equation.

7. y = 4 x − 3 y equals 4 x minus 3
8. y = 7 y equals 7
9. y + 3 = 1 2 ( x + 2 ) y plus 3 equals , 1 half , open x plus 2 close
10. − 3 x + 5 y = 15 negative 3 x plus 5 y equals 15

Determine whether each equation represents a direct variation. If it does, find the constant of variation.

11. 2 x + 3 y = 0 2 x plus 3 y equals 0
12. 4 x + 6 y = 3 4 x plus 6 y equals 3

Graph each function.

13. y = | x − 4 | y equals vertical line x minus 4 vertical line
14. y = | x | + 3 y equals vertical line x vertical line plus 3

15. Pet Grooming You start a pet grooming service. You spend $ 30 dollars 30  on supplies. You plan to charge $ 5 dollars 5  to groom each pet.

    1. Write an equation to relate your profit y to the number of pets x you groom.
    2. Graph the equation. What are the x- and y-intercepts?

16. Make a scatter plot and draw a trend line for the data in the table. Interpolate or extrapolate to estimate the number of inventors applying for patents in 2006 and in 2015.

    Number of Inventors Applying for Patents

    year	Inventors
    1999	22,052
    2001	20,588
    2003	18,462
    2005	14,039
    2007	13,748

    SOURCE: U.S. Patent Office

17. What is an equation of the line parallel to y = − x + 1 y equals negative x plus 1  and through (4, 4)?
18. What is an equation of the line perpendicular to y = − x − 2 y equals negative x minus 2  and through ( − 2 , 4 ) ? open negative 2 comma 4 close question mark

Do you UNDERSTAND?

19. Writing How are lines of best fit and other trend lines used with scatter plots?
20. Open-Ended Write an equation whose graph is parallel to the graph of y = 0.5 x − 10 . y equals 0.5 x minus 10 .
21. Compare and Contrast Is an equation that represents a direct variation a type of linear equation? Explain.
22. Vocabulary What does it mean when a line of best fit has a correlation coefficient close to 1?

23. Reasoning How many lines can you draw that are parallel to the line and through the point shown below? Explain.

    

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