Expert: Lynn Houston - 4/29/2009

Question
I need loads of help with loads of math problems, please please help me!!
1-Find the linear equation in slope-intercept form given the following information:m = -1 and b =  1/2   
2-Find the linear equation given the following information:m =    -4/3  and y-intercept = -1
3-Find the linear equation given the following information:

y-intercept = 1 and the slope of the graph = -1
4-Find the linear equation given the following information:

y-intercept = -1 and the line decreases by 3 when x increases by 1
5-Find the linear equation given the following information:m =    -2/3  and when x = 6, y = -2
6-Find the linear equation given the following information:

when x = 0, y = -2 and when x = 2, y = 4
7-Find the linear equation given the following information:

when x = 2, y = 6 and when x = 4, y = 0
8-Find the linear equation given the following information:

when x = -1, y = 2 and when x = 2, y = 2
9-There is a linear equation where when x = 2, y = 10 and when x = 10, y = -2.  Find the ordered pairs when x = -10 and when x = 100.
10-There is a linear equation where when x = 5, y = -5 and when x = -25, y = -25.  Find the ordered pairs when x = 2 and when x = 50.
11-
12-What is the range for the following set of ordered pairs:

{(6,2), (6, -1), (6, -5), (6, 0)}


Answer
1-Find the linear equation in slope-intercept form given the following information:m = -1 and b =  1/2   
y=-x+1/2

2-Find the linear equation given the following information:m =    -4/3  and y-intercept = -1

y= -4/3x -1


3-Find the linear equation given the following information:
y-intercept = 1 and the slope of the graph = -1

y=-x+1


4-Find the linear equation given the following information:
y-intercept = -1 and the line decreases by 3 when x increases by 1

y= -3x -1


5-Find the linear equation given the following information:m =    -2/3  and when x = 6, y = -2

-2 = -2/3(6) + b
b= 2
y = -2/3x + 2


6-Find the linear equation given the following information:
when x = 0, y = -2 and when x = 2, y = 4

b = -2
4= 2m -2
m = 3

y=3x-2



7-Find the linear equation given the following information:
when x = 2, y = 6 and when x = 4, y = 0

0=4m+b
6=2m+b
-6 = 2m
m=-3

0=-3(4) +b
b= 12

y = -3x +12



8-Find the linear equation given the following information:
when x = -1, y = 2 and when x = 2, y = 2

2= -m +b
2= 2m +b
0= m

2 = 0m +b
b = 2

y = 2


9-There is a linear equation where when x = 2, y = 10 and when x = 10, y = -2.  Find the ordered pairs when x = -10 and when x = 100.

10= -2m + b
-2 = 10m + b
12 = -12m
m = -1

10 = -2 + b
b = 12

y = -10(-1) + 12
y = 22
(-10, 22)

y = 100(-1) + 12
y = 112
(100, 112)


10-There is a linear equation where when x = 5, y = -5 and when x = -25, y = -25.  Find the ordered pairs when x = 2 and when x = 50.

-5= 5m + b
-25= -25m + b

20 = 30m
m = 2/3

-5 = 2/3(5) + b
b = -25/3

y = 2(2/3) - 25/3
y = 21/3 = 7
(2,7)

y = 50(2/3) -25/3
y = 75/3 = 25
(50,25)


12-What is the range for the following set of ordered pairs:

{(6,2), (6, -1), (6, -5), (6, 0)}
{2, -1, -5, 0}