Science, Tech, Math › Math Positive Slope Positive slope = positive correlation Print Lfahlberg/Wikimedia Commons/CC BY-SA 3.0 Math Pre Algebra & Algebra Math Tutorials Geometry Arithmetic Statistics Exponential Decay Worksheets By Grade Resources By Jennifer Ledwith Jennifer Ledwith Math Expert B.B.A., Finance and Economics, University of Oklahoma Jennifer Ledwith is the owner of tutoring and test-preparation company Scholar Ready, LLC and a professional writer, covering math-related topics. Learn about our Editorial Process Updated on February 21, 2019 In algebraic functions, the slope, or m, of a line describes how rapidly or slowly change is occurring. Linear Functions have 4 types of slopes: positive, negative, zero, and undefined. Positive Slope = Positive Correlation A positive slope demonstrates a positive correlation between the following: x and yinput and outputindependent variable and dependent variablecause and effect Positive correlation occurs when each variable in the function moves in the same direction. Look at the linear function in the picture, Positive slope, m > 0. As the values of x increase, the values of y increase. Moving from left to right, trace the line with your finger. Notice that the line increases. Next, moving from right to left, trace the line with your finger. As the values of x decrease, the values of y decrease. Notice how the line decreases. Positive Slope in the Real World Here are some examples of real-world situations where you might see a positive correlation: Samantha is planning a family reunion. The more people who attend (input), the more chairs she orders (output).James is visiting the Bahamas. The less time that he spends snorkeling (input), the fewer tropical fish he spies (output). Calculating Positive Slope There are multiple ways to calculate a positive slope, where m>0. Learn how to find the slope of a line with a graph and calculate slope with a formula. Cite this Article Format mla apa chicago Your Citation Ledwith, Jennifer. “Positive Slope.” ThoughtCo, Apr. 5, 2023, thoughtco.com/definition-of-positive-slope-2311976. Ledwith, Jennifer. (2023, April 5). Positive Slope. Retrieved from https://www.thoughtco.com/definition-of-positive-slope-2311976 Ledwith, Jennifer. “Positive Slope.” ThoughtCo. https://www.thoughtco.com/definition-of-positive-slope-2311976 (accessed August 28, 2023). copy citation

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