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SIZIF [17.4K]
3 years ago
6

"Find the slope of the line through each pair of points."M (a, b) and N (c, d).

Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0
Slope =
\frac{d - b}{c - a}
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For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

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We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

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We substitute one of the points and find "b":

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Finally, the equation is of the form:

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ANswer:

y = - \frac {3} {2} +2

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