No, a positive slope is not always steeper than a negative slope. The steepness of a slope is determined by its absolute value, regardless of its sign. For example, a slope of +3 is steeper than a slope of -2, but a slope of +1 is less steep than a slope of -5. Thus, it depends on the specific values of the slopes being compared.
larger slope if positive and a smaller slope if negative
In general, the steepness of a slope is determined by its absolute value, not the sign. A negative slope indicates a downward trend, while a positive slope indicates an upward trend. If both slopes have the same absolute value, they are equally steep, but a negative slope will visually appear to descend, while a positive slope will ascend. Thus, a steeper slope can be negative or positive, depending on its absolute value.
There's absolutely no connection or correlation whatsoever between the steepness and the direction of a slope.
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.
larger slope if positive and a smaller slope if negative
In general, the steepness of a slope is determined by its absolute value, not the sign. A negative slope indicates a downward trend, while a positive slope indicates an upward trend. If both slopes have the same absolute value, they are equally steep, but a negative slope will visually appear to descend, while a positive slope will ascend. Thus, a steeper slope can be negative or positive, depending on its absolute value.
There's absolutely no connection or correlation whatsoever between the steepness and the direction of a slope.
No because the slope of a line can be positive or negative
There's absolutely no connection or correlation whatsoever between the steepness and the direction of a slope.
The positive slope of the velocity-time graph indicates that the cart is accelerating. The steeper the slope, the greater the acceleration. If the slope is negative, it indicates the cart is decelerating.
Not always because it can also be 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).
The slope of the instantaneous speed-vs-time graph represents the acceleration of the object. A positive slope indicates the object is accelerating in the positive direction, while a negative slope indicates acceleration in the negative direction. The steeper the slope, the greater the magnitude of the acceleration.
For a positive number, as the slope(y=mx+b where m is the slope) gets greater in value, the line gets steeper when plotted on a graph. For a negative number, as the slope(y=mx+b where m is the slope) gets greater in value, the line gets less steep when plotted on a graph.
For a positive number, as the slope(y=mx+b where m is the slope) gets greater in value, the line gets steeper when plotted on a graph. For a negative number, as the slope(y=mx+b where m is the slope) gets greater in value, the line gets less steep when plotted on a graph.
For a negative slope, the rise is negative and the run is positive.