How do you write an equation in point slope form given (1/2,-4), (2,11)?

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Answer 1 · 2017-12-03T04:31:17

10x-y-9=0

be #A(1/2,-4) and B(2,11)#

finding the slope

#m=(y-y_0)/(x-x_0)#

#m=(-4-11)/(1/2-2)#

#m=(-15)/(-3/2)#

#m=10#

now with the equation point slope

#y-y_0=m(x-x_0)#

with the point B

#y-11=10(x-2)#

#y-11=10x-20#

#0=10x-y-20+11#

#10x-y-9=0#