What's the equation of the line through (-10,3) and (-8,-8)?

1 Answer
iceman
Mar 5, 2018

#y=(-11/2)x-52#

Explanation:

#(-10,3)# and #(-8,-8)#
The slope of the line between #A(x_1,y_1)# and #B(x_2,y_2)# is:
#m=(y_2-y_1)/(x_2-x_1)#
The equation of the line AB in point slope form is:
#y-y_1=m(x-x_1)#
So in this case:
#m=(-8-3)/(-8-(-10)) = -11/(-8+10)=-11/2#
#y-3=-11/2(x+10)# => point slope form
#y-3=(-11/2)x-55#
#y=(-11/2)x-52# => slope intercept form

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