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Mathematics 20 Online
OpenStudy (anonymous):

What is the graph of the system y = -2x + 3 and 2x + 4y = 8?

OpenStudy (anonymous):

OpenStudy (phi):

put the second eq into y = mx+b form the first is already in that form

OpenStudy (anonymous):

y=2-2x

OpenStudy (anonymous):

y=-2x+2

OpenStudy (phi):

2x + 4y = 8 add -2x to both sides 4y = -2x + 8 divide both sides by 4 y = (-2/4) x + 8/4 or y = (-1/2) x + 2

OpenStudy (anonymous):

ohh ok

OpenStudy (phi):

both lines have negative slope (down and to the right) you can rule out two of the choices that have lines with positive slope (a line going up to the right)

OpenStudy (anonymous):

so a or c

OpenStudy (anonymous):

its a correct?

OpenStudy (phi):

yes. now look for the lines that have the correct y-intercept

OpenStudy (phi):

the y intercept is where the line crosses the y-axis (the up/down axis) you need +3 from y = -2x + 3 and +2 from y = (-1/2) x + 2

OpenStudy (anonymous):

oh wow, i forgot... its c then

OpenStudy (anonymous):

ill ask another

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