Slope Formula
The steepness of a graph line; the ratio of the vertical change (the rise) to the horizontal change (the run).
The slope formula is a mathematical representation of the steepness exhibited by a line. It provides us with an equation that can be used to measure the rate of change or slope between two points on a line. The formula is given as:
m = (y2 – y1) / (x2 – x1)
Where:
– m stands for the slope
– (x1, y1) and (x2, y2) are two ordered pairs on the line
To calculate the slope of a line using the slope formula, simply plug in the coordinates of the two points you are given into the formula and solve for m. The resulting value will represent the steepness of the line, indicating its rise or fall as it progresses along the x-axis. Importantly, if the resulting slope is positive, the line is ascending, and if the slope is negative, the line is descending.
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