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mathdad
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Show that the slope of the line passing through the two points (x, x^2) and (x + h, (x + h)^2) = 2x + h.
Must I use m = delta(y)/delta(x)?
Must I use m = delta(y)/delta(x)?
Yup.RTCNTC said:Show that the slope of the line passing through the two points (x, x^2) and (x + h, (x + h)^2) = 2x + h.
Must I use m = delta(y)/delta(x)?
topsquark said:Yup.
-Dan
The slope of a line is a measure of its steepness or incline. It represents the rate of change of the dependent variable with respect to the independent variable.
The slope of a line can be calculated by dividing the change in the y-coordinate (vertical change) by the change in the x-coordinate (horizontal change) between two points on the line. This is represented by the formula: slope = (y2 - y1) / (x2 - x1).
A positive slope indicates that the line is increasing from left to right, meaning that the dependent variable is increasing as the independent variable increases.
A negative slope indicates that the line is decreasing from left to right, meaning that the dependent variable is decreasing as the independent variable increases.
Yes, the slope of a horizontal line is 0. This means that there is no change in the y-coordinate as the x-coordinate changes, resulting in a flat line. In this case, the dependent variable remains constant regardless of the change in the independent variable.