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