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Choose the slopeintercept equation of the line that passes through the point (2, 2) and is parallel to y = 4x + 7.
A: y = 4x + 10
B: y= 1/4x+5/2
C: y = 4x  6
D: y = 1/4x +3/2
 8 months ago
 8 months ago
Choose the slopeintercept equation of the line that passes through the point (2, 2) and is parallel to y = 4x + 7. A: y = 4x + 10 B: y= 1/4x+5/2 C: y = 4x  6 D: y = 1/4x +3/2
 8 months ago
 8 months ago

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ybarrapBest ResponseYou've already chosen the best response.0
Look for an equation with the same slope and plug in your coordinates to see if they match, you should get your answer very quickly like this
 8 months ago

ybarrapBest ResponseYou've already chosen the best response.0
note that if lines are parallel, they will have the same slope. Think about it
 8 months ago

poopbutt343Best ResponseYou've already chosen the best response.0
I still don't really understand it. I'm terrible with graphs and slopes. My best guess is that it is A. Cause it would be parallel but just to the side, right?
 8 months ago

texaschic101Best ResponseYou've already chosen the best response.0
do you know what the slope is in the original equation ?
 8 months ago

ybarrapBest ResponseYou've already chosen the best response.0
y=mx+b, m = slope, b=yintercept (i.e. where the line crosses the yaxis when x=0)
 8 months ago

texaschic101Best ResponseYou've already chosen the best response.0
you could just use point slope formula and sub in slope (m) and your points given
 8 months ago

poopbutt343Best ResponseYou've already chosen the best response.0
I got C... But I'm very unsure about that one.
 8 months ago

poopbutt343Best ResponseYou've already chosen the best response.0
I'm just going to guess D. Sorry, I guess i just dont get it
 8 months ago

texaschic101Best ResponseYou've already chosen the best response.0
y = 4x + 7......what is your slope in this equation ?
 8 months ago

texaschic101Best ResponseYou've already chosen the best response.0
ok...y = mx + b form, the slope is m. So in that equation , your slope is 4. A parallel line will have the same slope. Now we will use the point slope formula because we have the slope and a point. point slope formula is : y  y1 = m(x  x1) slope (m) = 4 (2,2) x1 = 2, y1 = 2 now lets sub y  2 = 4(x (2) y  2 = 4(x + 2)  distribute the 4 through the parenthesis y  2 = 4x + 8  now add 2 to both sides to get y by itself y = 4x + 8 + 2 y = 4x + 10 < your answer Did that help you understand it better ?
 8 months ago

chandanjhaBest ResponseYou've already chosen the best response.0
any line parallel to y=mx+c can be taken as y=mx+k so lets take the equation as y=4x+k now we have a point on the line (2,2)lets put it into the equation 2=8+k k=10 hence the equation is y = 4x +10 option a
 8 months ago
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