Understanding Linear Equations | Definition, Graphing, and Interpretation

y=mx+b

The equation y = mx + b represents a linear equation in two variables, x and y, where m and b are constants

The equation y = mx + b represents a linear equation in two variables, x and y, where m and b are constants.

In this equation:
– m represents the slope of the line. It determines how steep the line is. A positive value of m indicates an upward slope, while a negative value indicates a downward slope. The magnitude of the slope represents how steep the line is.
– b represents the y-intercept of the line. It is the point where the line crosses the y-axis. The y-intercept is the value of y when x equals zero.

To graph this equation, you can start by plotting the y-intercept, which is the point (0, b). Then, you can use the slope, m, to find other points on the line. The slope tells you how much the y-value changes for every unit increase in x. If m is positive, you can move up or down depending on the sign of m. If m is negative, you move in the opposite direction.

To find additional points on the line, you can use the slope-intercept form. Start from the y-intercept and use the slope to move horizontally (changing x) and vertically (changing y) to find other points. Repeat this process until you have enough points to plot the line accurately.

Remember, the equation y = mx + b represents a straight line, and with just two points, you can draw and determine the line’s behavior.

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