anonymous
  • anonymous
Please help. Easy medal. Find an equation for the line passing through the origin and parallel to the line passing through the points (2,4) and (4,7) Please.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Wait a sec
anonymous
  • anonymous
Okay.
anonymous
  • anonymous
Okay then let me get this straight there are two lines one of which passes through the origin and the other passes through the coordinates mentioned?

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anonymous
  • anonymous
Yes, correct.
anonymous
  • anonymous
First you find the gradient of the line passing through the coordinates mentioned
anonymous
  • anonymous
This gradient is going to be the same for the line passing through the origin
anonymous
  • anonymous
I have never learned about a gradient. Please guide me through that?
anonymous
  • anonymous
Do you know what a slope is?
anonymous
  • anonymous
Do you mean slope?
anonymous
  • anonymous
Slope=gradient
anonymous
  • anonymous
Of course. Yes.
anonymous
  • anonymous
Let me do that first.
anonymous
  • anonymous
Then you find the slope of the line passing through the coordinates mentioned
anonymous
  • anonymous
You will get 3/2
anonymous
  • anonymous
yes. I got 3/2
anonymous
  • anonymous
Nice then the next step This gradient is equal for the line passing through the origin as these lines are parallel
anonymous
  • anonymous
0=3/2x0+c
anonymous
  • anonymous
You dont need to do the above step but i still did
anonymous
  • anonymous
Oh, I see. Then, I believe I use the slope-intercept formula for the next coordinates? Like y-y1= m(x-x1)? Or..is that incorrect?
anonymous
  • anonymous
So the equation of line should be y=3x/2+0
anonymous
  • anonymous
Just substitute the m and the (0,0) to get the c which we already know is 0 as the line passes through the origin you got your equ.
anonymous
  • anonymous
Ohhh...okay, I understand now.
anonymous
  • anonymous
You can use that formula
anonymous
  • anonymous
I guess it can work, but the way you explained it since the origin is only (0,0) and the slope off of the second coordinates is 3/2 makes it pretty obvious. Thanks very much for your help
anonymous
  • anonymous
Np
anonymous
  • anonymous
Good luck
anonymous
  • anonymous
Thanks.

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