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The rate of change for y=x+6 is less than the slope of the line represented by the table.

Step-by-step explanation:

First let's look at our equation:

This equation is written in slope-intercept form:

Where m is the slope of the line and b represents the y-intercept.

Therefore in our equation:

Our slope is 1 (invisible 1 in front of x since 1 times x is x) and it also has a y-intercept of -6.

Next let's look at our table and choose any two points.  In this case I choose (0,-5) and (5,10).  It doesn't matter which two you decide to choose.  Now, let's calculate the slope of this line by using the following equation.

and so the line that the table represents is more than to y=x-6.  Furthermore, the equation for the table is y=3x-5, this is because (0,-5) is the y-intercept for this line.