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candeebabee
 3 years ago
An architect needs to determine the slope between two points on a ski lift. The two points have been identified as (15, 35) and (195, 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?
candeebabee
 3 years ago
An architect needs to determine the slope between two points on a ski lift. The two points have been identified as (15, 35) and (195, 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?

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InYourHead
 3 years ago
Best ResponseYou've already chosen the best response.0Okay. So you know how ordered pairs are set up, right? (x, y) So, for example, take a look at the FIRST ordered pair: (15, 35) In this case... X = 15 Y = 35 You see? ~~~~~~~~~~~~~ Now, we have two ordered pairs. Here's the formula for finding the slope: \[\frac{ y_{1}y_{2} }{x_{1}x_{2} }\] ~~~~~~~~~~~~~~~ I'll walk you through this formula step by step. 1. Look at our ordered pairs. (15, 35) and (195, 50) 2. Find the FIRST Y, and subtract the SECOND Y. 35  50 = 15 This is the NUMERATOR (top) of the slope fraction. 3. Find the FIRST X, and subtract the SECOND X. 15  195 = 180 This is the DENOMINATOR (bottom) of the slop fraction. ~~~~~~~~~~~~~~ So now we have the slope fraction! \[\frac{ 15 }{ 180 }\] which is the same as \[\frac{ 15 }{ 180 }\]
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