Problem

Find the equation of the linear function represented by the table below in slopeintercept form.
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Answer

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Answer

Final Answer: The equation of the line is y=x+3.

Steps

Step 1 :The slope-intercept form of a linear equation is given by y=mx+b, where m is the slope of the line and b is the y-intercept.

Step 2 :The slope can be calculated by taking the difference in the y-values divided by the difference in the x-values for any two points on the line.

Step 3 :The y-intercept can be found by substituting the slope and one of the points into the equation and solving for b.

Step 4 :Calculate the slope m as 1.0

Step 5 :Calculate the y-intercept b as 3.0

Step 6 :The slope of the line is 1.0 and the y-intercept is 3.0. Therefore, the equation of the line in slope-intercept form is y=1.0x+3.0.

Step 7 :Final Answer: The equation of the line is y=x+3.

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