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Marta_Voda [28]
3 years ago
13

Find the slope of the segment with the endpoints (1, − 1/n ) and ( n/m , − 1/m ).

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

(y - yo) = m.(x - xo)

Let's go

(-1/n - (-1/m)) = s.(1 - n/m)

(-1/n + 1/m) = s.(1 - n/m)

(-m+n)/mn = s.(m - n)/m

If we multiply both sides by m

(-m + n)/n = s.(m - n)

If we take the (-1) from the left side we have

(-1.(m - n))/n = s.(m - n)

And if we divide both sides by (m - n)

-1/n = s

So our slope is -1/n

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