Positive slope
In mathematics, the term “slope” refers to the steepness or incline of a line
In mathematics, the term “slope” refers to the steepness or incline of a line. A positive slope is a slope that moves upward from left to right on a graph. It means that as the value of the independent variable (usually denoted as x) increases, the value of the dependent variable (usually denoted as y) also increases.
Visually, a positive-sloped line has an ascending direction, indicating a positive relationship between the variables. For example, if you have a graph where the x-axis represents time and the y-axis represents distance, a positive slope would mean that as time increases, the distance traveled also increases.
Mathematically, the slope of a line can be calculated using the formula:
slope = (change in y) / (change in x)
If the change in y is positive and the change in x is positive, then the slope will be positive. This means that the line is rising as we move from left to right.
For instance, if you have two points on a line (x1, y1) and (x2, y2), where x2 > x1 and y2 > y1, then the slope (m) can be found as:
m = (y2 – y1) / (x2 – x1)
If this slope value is positive, it indicates a positive (upward) slope.
To summarize, a positive slope represents an upward direction in a graph, indicating that as the independent variable increases, the dependent variable also increases.
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