Answer:
the slope is 1, the coefficient of x.
Step-by-step explanation:
You want to know the mistake in declaring the slope of y=x is 0, because there is no coefficient.
Coefficient
In algebra, a coefficient of 1 is usually not written. We let 1 times something be represented by the something itself. Its existence is indication there is one of it. No multiplier is needed.
y = x ⇔ y = 1·x
Whether the 1 is there or not, there is still exactly one 'x'.
So, the coefficient of x is 1 in y=x, meaning the slope is 1, not zero.
