Line AB passes through points A (6,6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, what is m and b?

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Answer 1 · 2016-12-01T15:59:15

#m=-2," "b=18#

eqn. of a straight line with known co-ordinates

#(x_1,y_1)," "(x_2,y_2)#

is given by the formula

#(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)#

for #A(6,6)," "B(12,3)#

#(y-6)/(x-6)=(12-6)/(3-6)#

#(y-6)/(x-6)=6/-3=-2#

#y-6=-2(x-6)#

#y=6+(-2x)+12#

#y=-2x+18#

#m=-2," "b=18#