We need to find the increasing function with constant slope.
Let us check each option one by one.
A) 6x -5y =10.
Let us solve it for y to get slope-intercept form
6x-5y =10.
-5y =-6x +10.
y =6/5 x-2.
Slope is 6/5 positive, therefore, it's an increasing function.
A linear function always has a constant slope.
Therefore, correct option is option A.
A. 6x -5y =10
All other options are incorrect.