anonymous
  • anonymous
For the triangle with vertices P(-2, 0), Q(4, -6), and R(5, -3), find an equation for the median from vertex Q.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Median bisects the opposite side, so first you need to find that side's midpoint. Then, find the line that passes through those two points. Do you need help with that part?
anonymous
  • anonymous
Yes please. I have the midpoint of PR which is (1.5, -1.5). Do I have to use y=mx+b?
anonymous
  • anonymous
Yes. Do you know how to find slope?

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anonymous
  • anonymous
m=rise/run?
anonymous
  • anonymous
Yeah. What's the slope?
anonymous
  • anonymous
Is it 7.5/2.5? I kind of suck at slope.
anonymous
  • anonymous
Rise is difference in y and run is difference in x. Q(4.0, -6.0) M(1.5, -1.5) Difference in y: -6 - -1.5 = -4.5 Difference in x: 4 - 1.5 = 2.5 Slope m = -4.5/2.5 = -9/5
anonymous
  • anonymous
Shoot! I just realised I typed the question wrong. Q is (4, 6) not (4, -6). Sorry
anonymous
  • anonymous
No problem, it's the same process.
anonymous
  • anonymous
Slope should be 3 (typed it in a slope calculator).
anonymous
  • anonymous
Okay , I see how you got 3 because 7.5/2.5 simplified is 3.
anonymous
  • anonymous
Yeah. Now all you need to do is find b in y = mx + b. You have m, and you have x and y (pick a point that you know is on the line, either the midpoint or Q). Plug everything in and solve for b. Then you have m and you have b, so set up your answer as y = mx + b and you're done.
anonymous
  • anonymous
So is my final answer y=3x+(-6)?
anonymous
  • anonymous
I think so! I used http://www.basic-mathematics.com/slope-calculator.html and that's what it gave me.
anonymous
  • anonymous
Okay. Thank you so much!

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