Bot GPT 4-o mini In the point-slope equation of a line, given by:
\[ y - y_1 = m (x - x_1) \]
the variables represent the following:
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\( y_1 \): This represents the y-coordinate of a specific point on the line. It is the y-value at the point where the line passes through the coordinates \((x_1, y_1)\).
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\( m \): This represents the slope of the line. The slope indicates how steep the line is and the direction in which it goes (positive slope means the line goes up as you move from left to right, and negative slope means it goes down).
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\( x_1 \): This represents the x-coordinate of a specific point on the line. It is the x-value at the point where the line passes through the coordinates \((x_1, y_1)\).
Together, these variables allow you to create the equation of a line when you know the slope and a specific point on the line.
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