Question

The general form for a linear equation is given as: y = a + bx. The quantity telling us how much y changes for a one-unit increase in x is called the __.

Answer 1

The quantity telling us how much y changes for a one-unit increase in x is called the slope.

Explanation:

We are given the following in the question:

The linear equation is given as:

`y = a + bx`

Slope is the quantity telling us how much y changes for a one-unit increase in x.

It is represented by "b" in the given linear equation.

It can be shown as:

`y = a + bx\\y_1 = a + b(x + 1)\\y_1-y = a + b(x + 1)-( a + bx)\\y_1-y = b(x+1-x)\\b = y_1-y`