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To calculate the slope of a straight line, pick two different points on the line. Calculate the difference between the points' y-coordinates, and divide that by the difference between the x-coordinates. In symbols: slope = Δy/Δx. That's the Greek letter "delta", in uppercase, and the "delta" simply means "difference in..." (in whatever comes after it).
For the slope of a curve, you take the limit of Δy/Δx, when Δx approaches zero. This is also written as dy/dx. If these symbols are unfamiliar to you, you'll learn them eventually, if you ever take an introductory calculus course.
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What is slope and how is it determined from a graph?
Slope refers to the steepness of a line. Mathematically, it can be defined as: slope = (difference in y-coordinates) / (difference in x-coordinates). This should be measured along a fairly short distance, since the actual slope can be different at different points.
Find the value of y so that the line passing through 6 y and 7 5 has a slope of -3?
This question mathematically makes no sense. A line passing through any given point can have any slope at all; you need two points to uniquely determine a line (and therefore the slope of that line).
What is slope in physics?
Slope is a mathematical term in physics that is used to describe the steepness of a line, or other physical object. Mathematically, slope is known as "m". The basic equation is: M = Rise/Run or M = Δy/Δx. This is best explained by a drawing: / / | / | / | / | <--- The Rise / | / | /___| ^ The run So if you know the length of the rise, and the length of the run, you can calculate the slope by dividing the rise by the run. Hope this helps.
What are units for slope?
Mathematically, there is no unit for slope. If you are taking something like a rise of 40cm over a run of 10cm, the cm cancel out and the slope is simply 4 Once you get off the math homework paper, however, slopes are often given as over a certain distance. If dealing with a hill on a road, you might be given a slope of "18 inches per 100 feet traveled" or something along those lines. ■
What does letter E mean in math?
e is Euler's number. It is the base of the natural logarithm and has many interesting and mathematically useful properties. For example, the slope of the function ex is ex, meaning that the slope at any point is equal to the y-value of the function. e is in infinite decimal, the first digits of which are 2.71
