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luda_lava [24]
3 years ago
14

What is the slope of the line through (1, 9) and (–3, 16)?

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
6 0

Answer:

-7/4.

Step-by-step explanation:

This is  the difference in the y coordinates  / corresponding difference in the x coordinates.

here it is (16 - 9) / (-3-1)

= 7 / -4

= -7/4.

tatiyna3 years ago
5 0

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.

We have as data that:

(x_ {1}, y_ {1}) :( 1,9)\\(x_ {2}, y_ {2}): (- 3,16)

Substituting we have:

m = \frac {16-9} {- 3-1} = \frac {7} {- 4} = - \frac {7} {4}

Thus, the slope of the line is- \frac {7} {4}

Answer:

m = - \frac {7} {4}

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