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What is the meaning of slope in reference to the points on a linear equation?

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What is the meaning of slope in reference to the points on a linear equation?

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“If y is a linear function of x, then the coefficient of x is the slope of the line created by plotting the function. Therefore, if the equation of the line is given in the form y = mx + b then m is the slope. This form of a line’s equation is called the slope-intercept form, because b can be interpreted as the y-intercept of the line, the y-coordinate where the line intersects the y-axis.

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