Distance:
subtract (5,2)-(2,6) = (3,-4)
Compute the length (Pythagoras): sqrt( 3^2 + (-4)^2 ) = sqrt(25)=5
So, C!
We have the 2 equations
1- ) 5x-8y=6
2-) -6x-3y=18
multiplying the first equation by 3 and the second equation by 8 then subtracting
1-) 15x-24y=18
2-) -48x-24y=144
-48x-24y=144
(-) 15x-24y=18
-------------------------------------
-63x = 126
x=-2
substituting in equation 1
5(-2)-8y=6
-10-8y=6
-8y=16
y=-2
the soultion is (-2,-2)
3 is the common difference