There's absolutely no connection or correlation whatsoever
between the steepness and the direction of a slope.
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larger slope if positive and a smaller slope if negative
Above the x axis, a steeper slope means more positive and therefore a faster rate of change of y with respect to x. This rate increases as the slope goes more and more away from the x axis. Below the x axis a steeper slope means more negative and therefore a faster rate of change of y with respect to x in the negative side. This rate increases as the slope goes more and more away from the x axis. For a distance vs. time graph. A steep positive slope means higher velocity. A steeper negative slope means higher velocity in the direction opposite to motion (declaration in a way).
For a negative slope, the rise is negative and the run is positive.
Positive correlation has a positive slope and negative correlation has a negative slope.
The answer depends on the signs of the original intercepts.x negative, y negative: negative slope becomes less negative and could go positive.x negative, y positive: positive slope becomes greater.x positive, y negative: positive slope becomes less positive and could go negative.x positive, y positive: negative slope becomes more negative.For 1 and 3, the slope changes sign when the y intercept crosses the origin.