SOLUTION: find the equation of the line that passes through (-2,9) and (-7,-7). write is in Ax+By=c

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Question 672166: find the equation of the line that passes through (-2,9) and (-7,-7). write is in Ax+By=c
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x1 y1 x2 y2
-2 9 -7 -7

slope m = (y2-y1)/(x2-x1)
( -7 - 9 )/( -7 - -2 )
( -16 / -5 )
m= 16/5
The required line passes through both the points. So we select one point and plug it with the slope
Plug value of the slope and point (-2 ,9 ) in
Y = m x + b
9.00 = 16/5 * -2 + b
9.00 = -32/5 + b
b= 9 + 32/5
b= 77/ 5
So the equation will be
Y = 16/5 x + 77/5
multiply equation by 5
5y=16x+77
16x-5y=-77

m.ananth@hotmail.ca