Question 58541
TO CALCULATE THE SLOPE BETWEEN TWO POINTS (1,4)&(2,7) YOU MAKE A FRACTION THUS
(Y2-Y1)(X2-X1)  OR
(7-4)/(2-1)=3/1=3 FOR THE SLOPE 
TO VERIFY THAT THE THESE THREE POINTS ARE ON THE SAME LINE WE CALCULATE THE SLOPE OF TWO OTHER POINTS THUS
(10-4)/(3-1)=6/2=3 SAME SLOPE THUS THEY ARE ON THE SAME LINE
NOW PLOT THE THREE POINTS AND DRAW A LINE THROUGHT THEM. 
THE EQUATION FOR THE LINE IS

Y=mX+b WHERE m=THE SLOPE OF 3 SO 
Y=3X+b  NOW SUBSTITUTE ANY OF THE THREE POINTS FOR THE Y & X VALUES IN THIS EQUATION AND SOLVE FOR THE Y INTERCEPT(b). THUS

7=3*2+b
7=6+b
b=7-6
b=1 FOR THE Y INTERCEPT (0,1)