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Write equation of line that goes through the point (– 2, 3) parallel to the line: x + y = 5

2007-03-10 22:26:47 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

7 answers

x+y=5
y=-x+5
so slope=-1
since lines r \\ so slopes r same
equation will be
y-3=(x+2)-1
y-3=-x-2
=y+x-1

2007-03-10 22:30:58 · answer #1 · answered by miinii 3 · 0 0

y = - x + 5 so m = - 1
Required line has m = - 1 and passes thro` (- 2, 3)
Equation is given by:-
y - 3 = - 1 (x + 2)
y - 3 = - x - 2
y = - x + 1

2007-03-11 06:51:27 · answer #2 · answered by Como 7 · 0 0

x+y=5
y=5-x
this is line equation , parallel so slope is the same , and is -1
your line y=-x + a
point (-x,3) is on the line , place it into equation , you get a=1
y=-x+1

2007-03-11 06:44:53 · answer #3 · answered by andrew martin 1 · 0 0

basically you need a line with gradient -1 that goes through
(-2,3)
the eq is,
y - 3 = (-1)(x+2)
=> x+y = 1

2007-03-11 06:58:08 · answer #4 · answered by yasiru89 6 · 0 0

since the line is parallel thus they have equal slopes thus the slope of the line,m is -1 (using slope = -coeff of x/coeff of y) and u hv the formula (y-y') = m(x- x')... here y' = 3 and x' = -2, so u hv the eqn as x + y=1...........best of luck for ur math....

2007-03-11 07:11:58 · answer #5 · answered by Smart Gal 2 · 0 0

ya, miinii got it rite...
the -2 is referring to the x and 3 is referring to the y.
since they are parallel, they must have the same gradient..

2007-03-11 06:46:38 · answer #6 · answered by Anonymous · 0 0

slope = (y-yo)/(x-xo)
paralel line is y=-x+5 ,,slope m=-1,,,and
-1=(y-3)/(x-(-2))
-1=(y-3)/x+2
-x-2=y-3
-x-2+3=y,,,,,,,,,,,,-x+1=y,,.
y=-x+1

2007-03-11 08:58:44 · answer #7 · answered by Tuncay U 6 · 0 0

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