SOLUTION: how do you write an equation in slope-intercept form given two points

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Question 240852: how do you write an equation in slope-intercept form given two points
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(-2,5) & (5,4) ARE 2 POINTS.
Y=mX+b IS THE LINE EQUATION WERE m=slope & b= the Y intercept.
Find the slope(m):
m=(Y2-Y1)/(X2-X1)=(4-5)/(5+2)=-1/7
Using one set of X & Y values & the slope solve the line equation for b the Y intercept.
5=-1/7*-2+b
5=2/7+b
b=5-2/7=35/7-2/7=33/7 the Y intercept.
Y=-X/7+33/7 THE LINE EQUATION.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-x%2F7+%2B33%2F7%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x/7 +33/7).