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What is the slope of the line through (-9, 6) and (-3, 9)?
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Given:  Points (-9, 6) and (-3, 9)

Find: The slope of the line that goes through those two points

Solution:  In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

Plug in the values

- [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

- [tex]m = \frac{9 - 6}{-3 - (-9)}[/tex]

Simplify the expression

- [tex]m = \frac{3}{-3 + 9}[/tex]

- [tex]m = \frac{3}{6}[/tex]

- [tex]m = \frac{1}{2}[/tex]

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.
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