SOLUTION: i need help solving some problems, so i know how to do this kind of thing, i have some examples (6,r),(2,5);slope=-3 (1,-4),(r,2);slope=-3/2 (-4,8), (-6,r):slope=3/2

Question 499094: i need help solving some problems, so i know how to do this kind of thing, i have some examples (6,r),(2,5);slope=-3
(1,-4),(r,2);slope=-3/2 (-4,8), (-6,r):slope=3/2

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
i need help solving some problems, so i know how to do this kind of thing,
:
Know the slope formula: m =
:
(6,r),(2,5);slope=-3
we assign the values as follows
x1 = 6; y1 = r
x2 = 2; y2 = 5
m = -3
From this we have
= -3
= -3
multiply both sides by -4, gets rid of the denominator
5 - r = -4(-3)
-r = +12 - 5
-r = 7
r = -7; multiplied both sides by -1
you can check this in the original equation using this value for r, ensure it equals -3
Remember minus a minus, is a plus
:
(1,-4),(r,2);slope=-3/2
x1 = 1; y1 = -4
x2 = r; y2 = 2
=
=
=
multiply both sides by 2(r-1), to get rid of the denominators, results:
2(6) = -3(r-1)
12 = -3r + 3
3r = 3 - 12
3r = -9
r =
r = -3
Check this also in the original equation
:
:
(-4,8), (-6,r):slope=3/2
x1=-4; y1=8
x2=-6; y2=r
=
=
=
Multiply by -2, results
r - 8 = -1(3)
r = -3 + 8
r = 5
to check this
=
=
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