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What is the slope of the line that passes through the points (2, 8) and (-3, 14)? Write your answer in simplest form.

1 Answer

1 vote

Answer:

-6/5

Explanation:

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

slope = (y2 - y1) / (x2 - x1)

Plugging in the given points, we get:slope = (14 - 8) / (-3 - 2) = 6 / (-5)

To write this in simplest form, we can divide the numerator and denominator by their greatest common factor, which is 1 in this case. So the slope in simplest form is:

slope = 6 / (-5) = -6/5

Using the rise/run notation, we can say that the slope of the line passing through the points (2, 8) and (-3, 14) is -6/5, or -6 over 5.

The rise is -6 (since we move down 6 units from y1 to y2), and the run is 5 (since we move 5 units to the left from x1 to x2).

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