in y=mx+b, what variable represents slope?
In the equation y = mx + b, the variable “m” represents the slope of the line
In the equation y = mx + b, the variable “m” represents the slope of the line.
The slope, or gradient, is a measure of how steep a line is. It represents the rate at which the line increases (or decreases) as you move horizontally along it.
In the equation y = mx + b, “m” is the coefficient of the x-term, and it determines the slope of the line. The slope can be positive, negative, or zero.
If the slope is positive, it means the line is increasing as x increases. If the slope is negative, it means the line is decreasing as x increases. If the slope is zero, the line is horizontal.
The slope can also be thought of as the ratio of the vertical change (change in y) to the horizontal change (change in x) between any two points on the line. For example, if the slope is 2, it means that for every 1 unit increase in x, the y-coordinate increases by 2 units.
Overall, the slope is a fundamental concept in algebra and is essential for understanding linear equations and graphs.
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