Slope
Slope is a term used to describe the steepness or incline of a line on a graph
Slope is a term used to describe the steepness or incline of a line on a graph. It measures how much a line slants or rises/falls as it moves horizontally along the x-axis. The slope is determined by dividing the change in y-coordinates (vertical change) by the change in x-coordinates (horizontal change) between any two points on a line.
Mathematically, the formula for calculating slope between two points (x1, y1) and (x2, y2) is represented as:
slope = (change in y-coordinates)/(change in x-coordinates) = (y2 – y1)/(x2 – x1)
To help illustrate this concept, consider a line that passes through two points: (1, 2) and (5, 8). We can use these coordinates to find the slope:
slope = (8 – 2)/(5 – 1) = 6/4 = 3/2
In this case, the slope is positive, indicating an upward incline. If the slope were negative, it would represent a downward incline.
Slope is an essential concept in algebra and geometry and is used in various applications, such as finding the rate of change, determining the direction of a line, and calculating speeds and distances in real-world contexts.
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