Question 28050
write the equation of a line through (2,5) and (8,1) with it in slope intercept.
 M= Y2-Y1/X2-X1 [FORMULAR]

  

NAME THE NUMBER'S FOR CONVINIENCY.
    (2,5) and (8,1)
    X1 Y1     X2 Y2
 
   
    M= Y2-Y1/X2-X1 OR M=Y1-Y/X1-X
        1-5 / 8-2 = -4/6 
     M=-4/6 .....-2/3 FINAL

 FIND THE EQUATION OF THE LINE
  FORMULA  M=Y1-Y/X1-X

        
           (2,5) 
           X1 Y1
     -2/3=5-Y/2-X
  CROSS MULTIPLY
 GIVES YOU 2[5-Y]=-3[2-X]
          10-2Y=-6+3X
            -2Y=-6-10+3X
            -2Y=-16+3X
     DIVIDE BOTH SIDE BY -2
        -2Y/-2=-16+3X/-2
         Y=-16+3X/-2  FINAL ANSWER.