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HELP ME OUT PLEASE SOLVE IT..............

Find the slope -intercept form of the equation of a line that passes through the given points. (6,-9),(-2,3)
 
 
 
I solved it and this is what I got -12/8=1.5
 
 
If I am wrong let me know and tell me the steps and solved it for me 
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2 Answers

First thing you have to do is get the slope
 
(y2-y1)/(x2-x1) = slope
 
lets make (6,-9) point 1, and (-2,3) point 2      you dont really need to do this part but it helps
so x1 = 6  y1 = -9                  x2 = -2  y2 =3
 
(3 - -9)/(-2 - 6) = 12/-8 or -3/2
 
now the Point-Slope Equation of a Line is y - y1 = m(x - x1)
 
so lets plug in 
Y - -9 = (-3/2)(X - 6) or
 
Y +9 = (-3/2)(X-6)
what you have found is correct but i think you accidentally lost your sign
 
-12/8 is correct which will simplify as -3/2  or -1.5 .
 
Next you will have to write out the slope intercept form equation
 
Y = MX + b   Now plug in the order pair (either one) into X and Y.  I picked (-2,3)
3 = (-3/2)*(-2) + b
3 = 3 + b  now solve for b by subtracting 3 on both side of the equal side
0 = b
 
Therefore Equation will be: Y= -3X/2 + 0  Or Y=-3X/2
 
I hope this helps!