anonymous
  • anonymous
What is the slope of the line passing through the point (4, −2) and perpendicular to the line y = 4x + 2? Write your answer as a fraction.
Mathematics
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SOLVED
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katieb
  • katieb
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jdoe0001
  • jdoe0001
what's the slope of the y = 4x +2?
kropot72
  • kropot72
The slope of the line y = 4x + 2 is 4. Let the unknown slope = m The product of the two slopes must equal -1 if the two lines are perpendicular. 4m = -1 .............(1) Can you solve equation (1) to find the value of m ?
anonymous
  • anonymous
im not sure

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jdoe0001
  • jdoe0001
y = 4x + 2 ^ slope as kropot72 already pointed out
anonymous
  • anonymous
Formula is y=mx+c so here the question is y = 4x + 2 so 4 is the slope :)
kropot72
  • kropot72
4m = -1 What do you get if you divide both sides by 4 ?
anonymous
  • anonymous
-4
kropot72
  • kropot72
What is 4m/4 ? \[\frac{4m}{4}=?\]
anonymous
  • anonymous
1
kropot72
  • kropot72
No. \[\frac{4}{4}=1\] \[\frac{4m}{4}=?\]
anonymous
  • anonymous
m?
jdoe0001
  • jdoe0001
perpendicular lines, have "negative reciprocal slopes", so if one function has a slope of "4" reciprocal of 4 = 1/4 negativize that = -(1/4) so, that'd be the negative reciprocal of "4", and thus the slope of the 1st function which passes through (4, -2)
anonymous
  • anonymous
so its 1/4?
anonymous
  • anonymous
or -1/4 i mean
jdoe0001
  • jdoe0001
or 4m = -1 => m = -1/4 as kropot72 indicated
anonymous
  • anonymous
ok thanks !
jdoe0001
  • jdoe0001
now, use your slope and the points it passes through to get the function, using the point-slope form http://www.teachhandson.com/calculationb.gif

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