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olganol [36]
3 years ago
7

A line is drawn so that it passes through the point (3,4) and (2,1). what is the slope of the line

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0
Y2-y1/x2-x1
1-4/2-3
Slope is: -3/-1 or 3
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Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
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Now we can substitute in for s in our simpler equation
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