No. This is true for any curved line, not just in economics.
The slope of a curved line at a point is the slope of the tangent to the curve at that point. If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.
The slope changes as the value of x changes. For any point x, the slope is -8x.
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.
Its steepness is the absolute value of its slope.
No, slope and initial value are not the same. The slope refers to the steepness or incline of a line on a graph, whereas the initial value represents the y-coordinate of the point where the line intersects the y-axis.
The slope of a curved line at a point is the slope of the tangent to the curve at that point. If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.
The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)
The slope is[ (y-value of 'b') - (y-value of 'a') ] / [ (x-value of 'b') - (x-value of 'a') ]
What does it mean if a slope is numerically a higher value than another slope
Your Y value divided by your X value.
The slope changes as the value of x changes. For any point x, the slope is -8x.
A negative slope is a slope occurs whenever an increase in the x value of the equation of a line causes the y value to decrease. If you're looking at the graph, the line with slope downwards from left to right.
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.
Its steepness is the absolute value of its slope.
The value of the principal is fixed.
No, slope and initial value are not the same. The slope refers to the steepness or incline of a line on a graph, whereas the initial value represents the y-coordinate of the point where the line intersects the y-axis.
a positive slope is a slope which increases in value "y" as well as its value for "x" i.e. (0,0)(2,2) would be listed as positive because the values increase olong the slope of the line