SOLUTION: what is the equation of a line that passes through the points (4,1) and (3,-2)

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Question 144107: what is the equation of a line that passes through the points (4,1) and (3,-2)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(4,1) and (3,-2)
FIRST WE FIND THE SLOPE (m) =(Y2-Y1)/(X2-X1)=(-2-1)/(3-4)=-3/-1=3
NOW WE REPLACE THEX & Y TERMS IN THE LINE EQUATION [Y=mX+b] WITH ONE SET OF POINTS & SOLVE FOR THE Y INTERCEPT (b).
1=3*4+b
1=12+b
b=1-12
b=-11 THE Y INTERCEPT.
THUS THE EQUATION IS:
Y=3X-11
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x+-11%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -11).