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?

1 Answer
Kevin B.
Nov 26, 2016

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#.

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