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
PS - coordinate system - please help
This topic has expert replies
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
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