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Must be positive the slope of an inverse relationship?
The slope of an inverse relationship
How do you figure out slope of a grade in percent?
Determine the height difference (a) between the start and end of the slope by subtracting the starting height from the final height (if it is a downhill slope the difference will be a negative number).Determine the horizontal distance (b) between the starting point and the final point. If you only know the actual linear distance (c) along the slope, you can figure the horizontal distance using the Pythagorean Theorem: a2+b2=c2. For example, if the linear distance (c) along the slope from start to finish is 1000 feet, and the height difference (a) is 75 feet, then using the theorem you would have 752+b2=10002 or 5625+b2=1000000. Your horizontal distance (b) would therefore be b2=994375 or b=997.2 feetDivide the height difference (a) by the horizontal distance (b) and multiply by 100. This gives you the grade of the slope in percent. In the example it would be 75 ÷ 997.2 × 100 = 7.5% grade
How can you use the initial value theorem to solve for the initial slope of a function?
I suggest: - Take the derivative of the function - Find its initial value, which could be done with the initial value theorem That value is the slope of the original function.
Is there a relationship between the sign positive or negative of the slope of a line and the angle the line makes with the x axis?
yes, the slope of the line is the tangent of the angle
What does it mean when the slope of the line varied?
It means that the relationship between the x and y variables is not linear.
