parent function linear
The parent function for a linear function is the simplest form of a linear equation, which is a straight line
The parent function for a linear function is the simplest form of a linear equation, which is a straight line. A linear function can be written in the form of y = mx + b, where m represents the slope (rate of change) of the line and b represents the y-intercept (the point where the line crosses the y-axis).
The slope (m) determines the steepness of the line. A positive slope means the line goes upwards from left to right, while a negative slope means the line goes downwards. The value of the slope indicates how much y changes for every unit increase in x. For example, if the slope is 2, it means that for every increase of 1 unit in x, y will increase by 2 units.
The y-intercept (b) represents the point where the line crosses the y-axis. It is the value of y when x is equal to zero. In other words, if you were to plot the line on a coordinate plane, the y-intercept is where the line intersects the y-axis.
The parent function of a linear equation is the most basic form of a linear equation, without any additional transformations or adjustments. Adding values to the variables in the equation will transform or shift the line up or down, left or right, making it different from the original parent function.
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