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In the equation 2y + px = 5, for what value of p is the graph of the equation parallel to the graph of x + y =5?
1.)2
2.)-2
3.)1
4.)-1
thanks i really appreciate it! i have a hard time with slopes

2007-03-09 03:18:13 · 5 answers · asked by skate_freely 1 in Science & Mathematics Mathematics

5 answers

the answer is p=2
the graph has parallel lines
So, the 2 eqn.s have no solution

2007-03-09 03:22:55 · answer #1 · answered by Malfoy vs Potter 5 · 0 0

For lines to be parallel, they have to have the same slope. Figure out the slope of the line x+y = 5 (it is -1)
The slope of the line 2y + px = 5 is -p/x, so which answer would make -p/x = -1 ?

2007-03-09 03:25:32 · answer #2 · answered by soelo 5 · 0 0

i would have to say the answer is 2 so that's answer #1. if you graph x + y = 5 it passes through 0,5 and 5,0. if you graph 2y + 2x = 5 it passes through 0,2.5 and 2.5, 0 and is definitely parallel to the first graph.

2007-03-11 14:46:44 · answer #3 · answered by mick m 1 · 0 0

x+y=5 has a slope of -1

so we have to find an equation that has a slope of -1

2y+px=5
2y=-px+5
y=-p/2x+5/2

-p/2=-1
-p=-2
p=2

2007-03-09 03:25:10 · answer #4 · answered by Glenn T 3 · 0 0

http://www.elluminate.com/live/pd.html?rk=XN1OMY9GS7DPIYKM

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2007-03-09 03:32:00 · answer #5 · answered by Anonymous · 0 0

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