What is the slope of the line graphed on the coordinate plane?

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asked Jun 9, 2020 116k views

2 Answers

Hoggar · Answer 1 · 2020-06-15T12:10:24+0000

For this case we must find the slope of the line plotted on the coordinate plane. We know that by definition, the slope is given by:

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

We must replace two points that the line passes through, then:

$(x_ {1}, y_ {1}) = (0,6)\\(x_ {2}, y_ {2}) = (1, -2)$

Substituting we have:

$m = \frac {-2-6} {1-0}\\m = \frac {-8} {1}\\m = -8$

Thus, the slope of the line is
m = -8

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