# SOLUTION: Any help you can give me on this will be greatly appreciated. Find the equation of the line that goes through the following set of points. (-4,10) (2,6)

Algebra ->  -> SOLUTION: Any help you can give me on this will be greatly appreciated. Find the equation of the line that goes through the following set of points. (-4,10) (2,6)      Log On

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 Click here to see ALL problems on Linear-systems Question 97147: Any help you can give me on this will be greatly appreciated. Find the equation of the line that goes through the following set of points. (-4,10) (2,6)Found 2 solutions by checkley71, stanbon:Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!Y=mX+b WHERE (m)=SLOPE & (b)= Y INTERCEPT SLOPE=(6-10)/(2+4)=-4/6=-2/3 NOW SUBSTITUTE ONE SET OF X,Y VALUES & SOLVE FOR (b) 10=-2/3*-4+b 10=8/3+b b=10-8/3 b=(30-8)/3 b=22/3 Y=-2X/3+22/3 IS THE LINE FORMULA THROUGH THESE TWO POINTS. (graph 300x200 pixels, x from -6 to 15, y from -10 to 10, y = -2x/3 +22/3). Answer by stanbon(60771)   (Show Source): You can put this solution on YOUR website!Find the equation of the line that goes through the following set of points. (-4,10) (2,6) ------------ Line equation: y=mx+b; need to find m and b ----------- m = [10-6]/[-4-2] = 4/-6 = -2/3 ----------- Substitute a point and m into the equation form to solve for b: 10=(-2/3)(-4)+b 10 = 8/3 + b 30/3 - 8/3 = b b = 22/3 ============= EQUATION: y = (-2/3)x + 22/3 ================== Cheers, Stan H.