Which set of data is exactly fit by a linear model?
2 answers:
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Answer:
1) undefined
2) 0
Step-by-step explanation:
Slope formula:
Problem 1:
(x1, y1) = (-7, 8)
(x2, y2) = (-7, -6)
Plug those 2 points into the slope formula and solve:
Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:
Problem 2:
(x1, y1) = (-9, -8)
(x2, y2) = (3, -8)
The slope is 0, and that would make a horizontal line on a graph. The equation would be:
You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.