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For 9 and 9A, find the slope of the line​

For 9 and 9A, find the slope of the line​-example-1
User Matt Darby
by
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1 Answer

6 votes

For this case we have that by definition, the slope of a line is given by:


m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where:


(x_ {1}, y_ {1}) and
(x_ {2}, y_ {2}) are two points through which the line passes.

Question 1:

According to the image, we have the following points:


(x_ {1}, y_ {1}) :( 2, -6)\\(x_ {2}, y_ {2}): (- 6,5)

Substituting we have:


m = \frac {5 - (- 6)} {- 6-2} = \frac {5 + 6} {- 8} = \frac {11} {- 8} = - \frac {11} {8}

Thus, the slope is:
- \frac {11} {8}

Question 2:

According to the image, the line goes through the following points:


(x_ {1}, y_ {1}): (- 1,2)\\(x_ {2}, y_ {2}) :( 2, -2)

Substituting we have:


m = \frac {-2-2} {2 - (- 1)} = \frac {-4} {2 + 1} = \frac {-4} {3} = - \frac {4} {3}

Thus, the slope is:
- \frac {4} {3}

Answer:

Slope 1:
- \frac {11} {8}

Slope 2:
- \frac {4} {3}

User Will Mason
by
8.2k points

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