positive slope
Positive slope refers to the incline of a line on a graph moving from left to right
Positive slope refers to the incline of a line on a graph moving from left to right. When a line has a positive slope, it means that as the x-values increase, so do the y-values.
To better understand positive slope, let’s look at an example. Consider the equation of a line: y = 2x + 3. The coefficient of x, which is 2 in this case, represents the slope of the line.
To find the slope, we can compare two points on the line. Let’s choose two points (1, 5) and (2, 7) from the line given by the equation.
To calculate the slope, we use the formula:
slope (m) = (y2 – y1) / (x2 – x1)
Using the points (1, 5) and (2, 7), we substitute the values into the formula:
m = (7 – 5) / (2 – 1)
m = 2 / 1
m = 2
The slope, 2, is a positive value. Therefore, the line has a positive slope. This indicates that as the x-values increase by 1, the corresponding y-values also increase by 2.
Visually, a positive slope results in a line that rises from left to right on a graph. The steeper the slope, the more rapidly the line increases as you move from left to right.
In summary, a positive slope indicates that the line is rising from left to right on a graph, with the y-values increasing as the x-values increase.
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