An architect needs to determine the slope between two points on a ski lift. The two points have been identified as (25, 30) and (125, 50), where x is the horizontal distance and y is the vertical distance from the bottom of the lift. Assuming the lift runs in a straight line, what is the slope of the line between the two points?
(Write your answer in simplest form, using / for a fraction bar if needed.)
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OpenStudy (dmezzullo):
would it be 1/5?
OpenStudy (anonymous):
Yes, I hope u know how u got it.
OpenStudy (dmezzullo):
Ya i do, want me to show u how?
OpenStudy (anonymous):
Sure!
OpenStudy (dmezzullo):
1 sec
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OpenStudy (dmezzullo):
ok so i minused 25 from 125 and 30 from 50
OpenStudy (dmezzullo):
got 100/20
divided got 5/1 or 1/5
OpenStudy (anonymous):
it sholud be 1/5
terenzreignz (terenzreignz):
Okay... but always divide the difference of the y's over the difference of the x's, ok? :)
OpenStudy (stamp):
solutions, see attachment
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OpenStudy (dmezzullo):
Ik i put 1/5 down
terenzreignz (terenzreignz):
\[\huge m=\frac{\Delta y}{\Delta x}\]Where the triangle (delta) means "change in"