Nathan B. answered • 04/23/18

Tutor

5
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Elementary and Algebraic skilled

Think of the slope-intercept formula:

y = mx + b

In the former's case, we have: -5 = mx + b

No matter what x equals, y will always be -5. This means m = 0, because anything times 0 equals 0 (the b in this case would equal the negative five).

In the latter case, the input stays exactly the same: 1. The output--the y-- would be any possible answer, making it infinity, or in more basic mathematical terms, dividing by 0. Since we cannot do either case (infinite outputs for one input or

^{x}/_{0}), the latter does not have a slope at all.