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Select the system of equations that corresponds to the given graph. (graph in comments)
4x + 2y = 12
4x + 2y = 4
2x + 3y = 4
6x + 9y = 12
2x + 4y = 12
2x + y = 3
2x + 3y = 8
−x + y = −4
 one year ago
 one year ago
Select the system of equations that corresponds to the given graph. (graph in comments) 4x + 2y = 12 4x + 2y = 4 2x + 3y = 4 6x + 9y = 12 2x + 4y = 12 2x + y = 3 2x + 3y = 8 −x + y = −4
 one year ago
 one year ago

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angela210793Best ResponseYou've already chosen the best response.1
from the graph u have that these two lines are prallel...two lines are parallel when they have the same slope so at the first system u have 4x + 2y = 12 slop=a/b=4/2=2 4x + 2y = 4 slope=a/b=4/2=2 the slopes are the same the second system 2x + 3y = 4 slope=a/b=2/3 6x + 9y = 12 slope=a/b=6/9=2/3 the slopes are the same... the other systems do not represent parallel lines so let's see which of the lines in which system has intercepts (0;2) (0;6) (1;0) (3;0) the first system is 4x + 2y = 12 intercepts (0;6) (3;0) 4x + 2y = 4 intercepts (0;2) (1;0) 4x+2y=12 xintercept,take y=0 and solve the equation for x,4x=12>x=12/4>x=3 (3:0) yintercept,take x=0 and solve for y,2y=12>y=12/2=6> (0;6) do the same with the second equation and you'll get (0;2) (1;0) so this graph represents the first system
 one year ago
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