Question

Examine the table of input (x) and output (y) values below. Is there a relationship between the input and output values? If so, write an equation for this relationship.

Answer 1

y = 3x -1

Explanation:

y = mx +/- b

To find the y-intercept, using the table, we look for when x = 0. In this question, when x=0, y = -1. Therefore the y-intercept is -1.

to find the slope (m), we just plug in an "x" value and "y" value, and solve for "m".

i.e.

2 = 1m - 1

3 = 1m

m = 3 = slope

If you use this with any of the other values you will get the same result.

I hope this helps!

-TheBusinessMan

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