Which answer choice explains the pattern for how to find the slope using an equation in standard form?

Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b

so we also need to convert ax+by=c into y=mx+b as shown below:

divide both sides by

Now compare it with y=mx+b, we get

So using values of a and b, we can find the slope

compare given equation -5x+2y=15 with ax+by=c, we get:

a=-5, b=2

Now plug both into above formula

Now matching these details with given choices we find that THIRD choice is the final answer.

step-by-step explanation: