anonymous
  • anonymous
Find the equation of the line that contains the given points. (Let y be the dependent variable and let x be the independent variable.)p1(4,5) p2(3,-4) could someone help me please?
Mathematics
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anonymous
  • anonymous
Find the equation of the line that contains the given points. (Let y be the dependent variable and let x be the independent variable.)p1(4,5) p2(3,-4) could someone help me please?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Do you recall the formula for the slope of a line?
anonymous
  • anonymous
given two points?
amistre64
  • amistre64
find the slope by subtracting one set of points from the other olike this: (4, 5) -(3,-4) (4, 5) (-3,4) ------- (1,9) slope = y/x = 9/1 = 9

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anonymous
  • anonymous
y-y1=m(x-x1)
amistre64
  • amistre64
( x , y ) -(x1,y1) -------- yes....
anonymous
  • anonymous
ok thanks!
amistre64
  • amistre64
i find it easier to stack them; and subtract the bottom from the top.... then slope = m = y/x
anonymous
  • anonymous
you know I haven't thought of that . It looked too easy!
amistre64
  • amistre64
so we have an equation now that looks like: y = 9x + b ; plug in one of the points to solve for b
amistre64
  • amistre64
5 = 9(4) + b 5 = 36 + b 5 -36 = b -31 = b .................... y = 9x -31
amistre64
  • amistre64
another format is to put all the variables to one sidelike this: -9x +y = -31 ; but some textbooks hate to have a (-) out front so they do this: 9x -y = 31
anonymous
  • anonymous
ok the first way looks easier!
amistre64
  • amistre64
:) y = 9x-31 is the "slope,intercept" form. 9x-y=31 is the "standard" form

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