Question

If you have a table that shows a linear relationship when can you read the value for b, in `y=mx+b`, directly from the table without drawing a graph or doing any calculations? Why?

Answer 1

When you have a linear relationship table `(x, y)`, when `x=0`, you can read the value for `b`.

Explanation:

Let's say you had a table that gives you a bunch of `x` values and their corresponding `y` values. To be a linear relationship, the points have to match up in this relationship: `y=mx+b`

What happens when `x=0`?
`y=m(0)+b`
`y=b`

If your table has a value `x=0`, then the corresponding `y` value is the value of `b`.