Determine if the graphs of the given equations are parallel. y=2x+7 7y+2x=4 what is the slope of the line y=2x+7 what is the slope of the line 7y+2x=4 Are the graphs parallel?

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Determine if the graphs of the given equations are parallel. y=2x+7 7y+2x=4 what is the slope of the line y=2x+7 what is the slope of the line 7y+2x=4 Are the graphs parallel?

Mathematics
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slope form y = mx + b; m is the slope
what is the slope of the line 7y+2x=4
Honestly, I am seriosly lost on this question.. I dont even know where to start

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so for the first one 2 is the slope?
if the slopes are the same, the lines are parallel
ok try solving for y 7y+2x=4
I feel silly but what would be my first step?
subtract 2x from both sides
The slope would be -2?
for the first?
nope write the whole thing 1st equation slope is 2
ok..... so the second would be the same then?
no, try solving for y, will help u
oh my ok.. let me work this out.. Just a sec
It would be 4?
nope 7y+2x=4 subtract 2x from both sides
sorry I thought I did.. this is embaressing ... ok just a sec
For some reason I just keep getting 2
7y+2x=4 -2x -2x 7y = -2x + 4 is that correct?
(4-2x)/7
yes
correct one extra step y = -2/7x + 4/7 whats the slope
is it undefined?
y = mx + b m = -2/7
I dont see where I went wrong....
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Oh ok I see that now. WOW how confusing... I hope I can handle the next on my own.. Thanks for your generous help...
Ok so how would I go about doing a question that asked me this... slope intercept equation of the line whose graph is parallel to y=2x-5 and has te y-interceot (0,9) There is no way I could do that one on my own!
they are parallel so the slope will stay the same y - y1 = m(x -x1) y - 9 = 2*(x-0) y - 9 = 2x +9 +9 y = 2x + 9

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