What is the equation of the line between #(3,6)# and #(2,9)#?

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Answer 1 · 2017-06-23T09:53:26

#y=-3x+15#

To find the equation of a line, you require:
1. Gradient
2. x,y coordinates

Gradient #= (y_1-y_2)/(x_1-x_2)#

#=(6-9)/(3-2)#

#=-3#

Equation of a line : #y-y_1=m(x-x_1)#

Using #(3,6)#, #m=-3#,

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

#y=-3x+9+6#

#y=-3x+15#