6x - 2y = 10
First, you want to make it into slope-intercept form, which is:
y = mx + b :m is slope
b is y-intercept
6x - 2y = 10 :First, subtract 6x over to the right
-2y = -6x + 10 :Then, divide the whole problem by -2
y = 3x - 5 :Now, this is in slope-intercept form
Your slope is:
3 or 3/1