Question

A graphs

relationship y = x on a coordinate plane.
She says the slope is 0 because there is no
coefficient. Find her mistake and correct it.

Answer 1

the slope is 1, the coefficient of x.

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.