Question 128998
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THE LINE EQUATION IS Y=mX+b WHERE m=SLOPE & b=Y INTERCEPT
FIRST WE FIND THE SLOPE m=(Y2-Y1)/(X2-X1)
(162-102)/(10-6)
60/4=15 IS THE SLOPE (m).
NOW REPLACE THE X & Y TERMS WITH 6 & 102 & SOLVE FOR THE Y INTERCEPT (b).
102=15*6+b
102=90+b
b=102-90
b=12 THE Y INTERCEPT.
SO THE LINE EQUATION FOR THIS SITUATION IS:
Y=15X+12 THE GRAPH FOLLOWS:
{{{ graph( 300, 200, -6, 5, -10, 15, 15x +12) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 15, 15x +12).