5x−y=14 in slope intercept form
y=_

Simple, rewrite this equation, in y=mx+b form.

Move over the 5x, making it look like, -y=-5x+14

Then, just simply divide by the negative one in front of the y.

y=5x-14.

The formula for intercept form is: y = mx + b and the slope is m.
so for this question, you can first add -5x on both sides of the equation so you will have:
-y = -5x + 14 but y should be positive so we can multiply both sides of the equation by -1 so you will have:
y = 5x - 14 and in this equation m is 5 so the slope is 5 too :)))
i hope this is helpful 
have a nice day