anonymous
  • anonymous
Choose the slope-intercept 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
Algebra
jamiebookeater
  • jamiebookeater
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ybarrap
  • ybarrap
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
ybarrap
  • ybarrap
note that if lines are parallel, they will have the same slope. Think about it
anonymous
  • anonymous
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?

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texaschic101
  • texaschic101
do you know what the slope is in the original equation ?
ybarrap
  • ybarrap
y=mx+b, m = slope, b=y-intercept (i.e. where the line crosses the y-axis when x=0)
texaschic101
  • texaschic101
you could just use point slope formula and sub in slope (m) and your points given
anonymous
  • anonymous
I got C... But I'm very unsure about that one.
ybarrap
  • ybarrap
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anonymous
  • anonymous
I'm just going to guess D. Sorry, I guess i just dont get it
texaschic101
  • texaschic101
y = 4x + 7......what is your slope in this equation ?
texaschic101
  • texaschic101
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 ?
anonymous
  • anonymous
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

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