PS - coordinate system - please help

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PS - coordinate system - please help

by madsport » Mon Sep 08, 2008 1:02 pm
In the xy-coordinate system, if (a, b) and
(a + 3, b + k) are two points on the line defined by the equation x = 3y – 7, then k =

(A) 9
(B) 3
(C) 7/3
(D) 1
(E) 1/3

The answer is D

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by bourne159 » Mon Sep 08, 2008 2:39 pm
Just substitute both points in th equation given. You get two equations.
Using those you can solve for k.

Equation1: Substitute a, b for X and Y in the equation given
a = 3b -7

Equation 2: Same here
a+ 3 = 3(b+K) -7

Subtract equation1 from equation2 you get k =1