Please make sure the questions haven’t changed…
Week Six CheckPoint
1. find the slope and the y – intercept. f(x) = - 8x -6
The slope is -8
The y – intercept is (0, -6 )
2. find the slope and the y-intercept of the line. Write the fractional answer in lowest
10
terms. Y= - 54 x 3
The slope is -5/4
(type an integer or a fraction.)
The y- intercept is (0, -10/3 )
(type an intger or a fraction.)
3. find the slope and the y- intercept.
y = 4.8x – 9
the slope is 4.8 (type an integer or a decimal)
the y – interecept is (0, -9) type an integer or a decimal.
4. find the slope and the y – intercept of the line.
7x = 5y +35 the slope is 7/5 (type an integer or a fraction)
The y- intercept is (0, -7 ) type an integer or a fraction .
5. find the slope and the y- intercept.
1
5 - y = 9x
the slope is -36
4
The y- intercept is is (0, 20 )
6. find the slope and the y- intercept of the line. Write fractional answers in lowest terms.
5y + 4x +2 = 11 +4x the slope is 0
The y- intercept is (0, 9/5 )
9. find the slope if it exists, of the line containing the pair of points
(5,2)and (7,-4) the alpoe m = -3 (simplify your answer. Type an integer or a fraction.
Type N if the slope is undefined.)
10. find the slope , if it exists, of the line containing the pair of points. (-9, -16) and (-20, 17)
The slope m= 1/11 (simplify your answer. Type an integer or a fraction. Type N if the
slope is undefined)
Please make sure the questions haven’t changed…
13. use the intercepts to graph the equation x -3=y
14.find the intercepts and then use them to graph the equation.
6x +3y =18
Please make sure the questions haven’t changed…
15 find the intercepts and then use them to graph the equation. 1.3x -1.8y = 4.68
16. graph the equation using the slope and the y-intercept y =
7
x+8
6
Please make sure the questions haven’t changed…
17. graph using the slope and the y- intercept x + 4y = 16
Please make sure the questions haven’t changed…
18. graph the equation by plotting points. x = 4
19. graph the equation by plotting points y = -6
Please make sure the questions haven’t changed…
20 determine wheather the graphs of the pair of lines are parallel.
What is the slope of the line x + 7 = y? (type N if slope is undefined)
What is the slope of the line y – x = -3? (type N if the slope is undefined)
Are the graphs of the given equations parallel? Yes or No
Slope1 = 1
Slope2 = 1
YES
21. determine wheather the graphs of each pair of lines are parallel.
4x + 2 = y
2y = 8x -9
Are the graphs of the given equations paraellel? Yes or No
YES
22. determine whether the graphs of the two equations are perpendicular.
y = 8x -2
3y = 5 –x are the graphs of the given equations perpendicular Yes or No
NO
23. determine whether the graphs of the equations are perpendicular
8x -7 =2,
8y -7x = 9 are the graphs of the given equations perpendicular Yes or No
You have a typo here… but NO
24. find the slope – intercept equation of the lines that has the given characteristics
Slope 6 and y – intercept (0,7). The slope – intercept equation is
y = ___.
6x+7
25. find the slpoe – intercept equation of the line that has the given characteristics.
Slope 2.6 and y - -intercept (0, -4). The slope – intercept equation
y = ___. (use integers or decimals for any numbers in the expression.)
2.6x-4
26. find an equation of the line having the given slope and containing the given point.
m = 3, (7,4 ). The equation of the line in slope – intercept from is y = ___.
Simplify your answer. Use integers or fractions for any numbers in the expression.
3x-17
Please make sure the questions haven’t changed…
27. find an equation of the line having the given slope and containing the given point.
7
m = , (1, -5). The equation of the line is y = ___. ( simplify your answer. Use integers
8
or fractions for any numbers in the expressions.)
7/8 x – 47/8
28. find an equation of the line containing the given pair of points. express your answer in
the form x = a, y = b, or y = mx + b . ( -1, -1 ) and (4,4)
What is the equation of the line?
y = x ( use integers or fractions for any numbers in the expression.)
29. find an equation of the line containing the given pair of points.
(-3, -6) and (-7, -4). The equation of the line in slope – intercept form is y = ___.
(simplify your answer. Use integers or fractions for any numbers in the expression.)
-1/2 x – 15/2
1
1
3
, - ﴿ and ﴾ , 6﴿
4
2
4
What is the equation of the line? y = __ ( simplify your answer. Type answer in the form
y = mx + b using integers or fractions)
13x – 15/4
30. find a equation of the line containing the given pair of points. ﴾
31. write an equation of the line containing the given point and parallel to the given line.
express your answer in the form y = mx +b .
(2,6); x + 4y =7. the equation of the line is y = ___ (simplify your answer. Use integers
or fractions for any numbers in the expression. )
-1/4 x + 13/2
32. write an equation of the line containing the given point and parallel to the given line.
express your answer in the form y = mx + b.
(-4,6); 3x = 2y +5. the equation of the line is y = ___. ( simplify your answer. Use
integers or fractions for any numbers in the expression.)
3/2 x + 12
33. write an equation of the line containing the given point and perpendicular to the given
line. express your answer in the form y = mx + b
(6, 9); 7x +y =2 the equation of the line is y = ___ ( simplify your answer. Use
integers or fractions for any numbers in the expression)
1/7 x + 57/7
Please make sure the questions haven’t changed…
34. write an equation of the line containing the given point and perpendicular to the given
line. ( 6, -8); 8x +9y = 4. the equation of the line is y = ___ ( type your answer in the
form y=mx+b. Simplify your answer. Type an integer or a fraction)
9/8 x – 59/4
36. the table lists data regarding the average salaries of several professional athletes in the
years 1991 and 2001. year
average salary
1991
256,000
2001
1,380,000
a) use the points to find a linear function that fits the data.
b) use the function to predict the average salary in 2005 and 2010
A linear function that fits the data is S (x) = 112400x + 143600
Let x = the real number of years since 1990, and let S= the average salary x years from
1990)
The perdicited average salary for 2005 is $ 1829600
(Round to the nearest whole number)
The predicited average salary for 2010 is $ 2391600
( round to the nearest whole number)
37. in 1920, the record for a certain race was 45.9 sec. In 1970 , it was 45.4 sec.
Let R (t) = the record in the race and t = the number of years since 1920.
a) find a linear function that fits the data.
b) Use the function in (a) to predict the record in 2003 and in 2006.
c) Find the year when the record will be 45.03 sec.
Find the linear function that fits the data.
R (t) = -0.01t + 45.9 ( round to the nearest hundredth)
What is the predicited record for 2003? 45.07 sec. (round to the nearest hundredth)
What is the predicited record for 2006 ? 45.04 sec. ( round to the nearest
hundredth)
In what year will the predicited record be 45.03 seconds? ( round to the nearest
hundredth) year = 2007
38. In 1995 the life expectancy of males in a certain country was 63.7 years. In 1999, it
was 65.9 years. Let E represent the life expectancy in year t and let t represent the number
of years since 1995.
The linear function E(t) that fits the data is
E (t) = 0.6 t + 63.7 (round to the nearest tenth)
Use the function to predict the life expectancy of the males in 2006.
E (11) = 70.3 (round to the nearest tenth)