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A line passes through the points in this table. x | y 9 | 7 12 | 9 19 | 12 29 | 17 22 | 19 What is the...

A line passes through the points in this table.
x | y
9 | 7
12 | 9
19 | 12
29 | 17
22 | 19
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer

The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Using the first two points (9, 7) and (12, 9):

  1. m = (9 - 7) / (12 - 9) = 2 / 3

Using the next two points (12, 9) and (19, 12):

  1. m = (12 - 9) / (19 - 12) = 3 / 7

Using the next two points (19, 12) and (29, 17):

  1. m = (17 - 12) / (29 - 19) = 5 / 10 = 1 / 2

Using the last two points (29, 17) and (22, 19):

  1. m = (19 - 17) / (22 - 29) = 2 / -7 = -2 / 7

The slope is consistent between the points (9, 7) and (12, 9), and (12, 9) and (19, 12), so the slope of the line is 2/3.

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