Note
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slope = M
The equation of a line in slope-intercept form is represented as Y = mx + b. In this equation:
Y: The value of the dependent variable, which changes depending on the value of x.
m: The slope of the line, which indicates the steepness and direction of the line. A positive slope means the line rises as it moves from left to right, while a negative slope means it falls. The slope is calculated as the ratio of the change in Y (the vertical change) to the change in X (the horizontal change) between two points on the line, usually expressed as (Y2 - Y1) / (X2 - X1).
x: The value of the independent variable, which is selected freely and determines the corresponding Y value.
b: The y-intercept, the point where the line crosses the y-axis. This point can be found when x = 0.
This formula allows us to quickly identify how changes in x affect the value of Y. For example, taking two points (0, 3) and (5, 4), we can calculate the slope using the formula (Y2 - Y1) / (X2 - X1), which gives us (4 - 3) / (5 - 0) = 1/5.