SOLUTION: Which of the following is an ordered pair solution of y=-1/2x+1/4? A. (2,-1/2) B. (1,1/4) C. (-2,5/4) D. (-1, -5/4)

Algebra ->  Linear-equations -> SOLUTION: Which of the following is an ordered pair solution of y=-1/2x+1/4? A. (2,-1/2) B. (1,1/4) C. (-2,5/4) D. (-1, -5/4)      Log On


   

Question 169793: Which of the following is an ordered pair solution of y=-1/2x+1/4?
A. (2,-1/2)
B. (1,1/4)
C. (-2,5/4)
D. (-1, -5/4)
Found 2 solutions by jim_thompson5910, Electrified_Levi:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Simply plug in the x-coordinate and the y-coordinate of the point to see if the equation is equal


Let's see if the point (2,-1/2) is a solution


y=-%281%2F2%29x%2B1%2F4 Start with the given equation


-1%2F2=-%281%2F2%29%282%29%2B1%2F4 Plug in x=2 and y=-1%2F2


-1%2F2=-2%2F2%2B1%2F4 Multiply


-1%2F2=-4%2F4%2B1%2F4 Multiply the first fraction by 2%2F2


-1%2F2=-3%2F4 Combine the fractions


Since the equation is NOT true, this means that (2,-1/2) is NOT a solution.


So do the same to the rest of the possible solutions until you find the answer.

Answer by Electrified_Levi(103) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, Hope I can help,
.
Which of the following is an ordered pair solution of y=-1/2x+1/4?
A. (2,-1/2)
B. (1,1/4)
C. (-2,5/4)
D. (-1, -5/4)
.
Ordered pairs are given as (x,y), so all you do is (for "A", replace "x" with "2", and "y" with +-1%2F2+)
.
The correct ordered pair will be a true statement
.
A. (x,y)(2,-1%2F2), +y=%28-1%2F2%29x%2B1%2F4+ = +%28-1%2F2%29=%28-1%2F2%29%282%29%2B1%2F4+ = +-1%2F2=%28-1%29%2B1%2F4+ = +-1%2F2=-3%2F4+ (False)
.
B. (x,y)(1,1%2F4), +y=%28-1%2F2%29x%2B1%2F4+ = +%281%2F4%29=%28-1%2F2%29%281%29%2B1%2F4+ = +1%2F4=-1%2F2%2B1%2F4+ = +1%2F4=-1%2F4+ (False)
.
C. (x,y)(-2,5%2F4), +y=%28-1%2F2%29x%2B1%2F4+ = +%285%2F4%29=%28-1%2F2%29%28-2%29%2B1%2F4+ = +5%2F4=1+%2B1%2F4+ = +5%2F4=5%2F4+ (True)
.
D. (x,y)(-1, -5%2F4), +y=%28-1%2F2%29x%2B1%2F4+ = +%28-5%2F4%29=%28-1%2F2%29%28-1%29%2B1%2F4+ = +-5%2F4=1%2F2%2B1%2F4+ = +-5%2F4=3%2F4+ ( False )
.
The ordered pair is "C" ( -2, +5%2F4+)
.
( -2, +5%2F4+) is the ordered pair solution
.
Hope I helped, Levi