Question

What is the y-intercept of the function,represented by the table of values below?

Answer 1

Answer: Choice A) 8

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If you plot all of the points, you'll see they all fall on the same straight line. The slope of this line is m = -4
Each time x increases by 1, y decreases by 4

Going in reverse, if we decrease x by 1, then we increase y by 4
So the pair (x,y) = (1,4) shown in row 2 will lead to (0,8) if we use the trick of increasing y by 4 when decreasing x by 1.

Another way to see this is to use m = -4 with (x,y) = (1,4) and you'll find that b = 8. So the equation of this line is y = -4x+8

Or you can use a graphical method to find the y intercept

Either way, the answer is 8. This is where the graph crosses the y axis.