Math Help - Need help to look at slope change intuitively and mathematically

Let's assume that you have a slope, y/x , where y is greater than x.

Now let's assume that you add the same number to both x and y to give you a new slope: you have (y+a)/(x+a)

This new slope will be smaller than the original one. How can you prove this?


Any help would be greatly appreciated

Originally Posted by mathbeginner97

Let's assume that you have a slope, y/x , where y is greater than x.

Now let's assume that you add the same number to both x and y to give you a new slope: you have (y+a)/(x+a)

This new slope will be smaller than the original one. How can you prove this?


Any help would be greatly appreciated

Start with this
Chose a >> y
Than, with fixed y and x, you will have k(a) = (y+A)/(x+A), Continue from there