Q: How does the value of X change as Y decreases?

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You don't.You could find percent of change but first you would have to learn to check your spelling!Suppose the value changes from X to Ythe change is (Y - X)the proportional change is (Y - X)/X = (Y/X - 1)the percentage change is 100*(Y/X - 1)that is,100*(New Value/Old Value - 1)

slope

In expressions such as "x-y", both "x" and "y" can have any value. The value of "x-y" will depend on what the value of "x" and the value of "y" are.

In a linear relationship such as represented in the equation x= b+ay. The relationship between the x and y is a direct variation. This basically means that in the above equation/situation the value of the y variable is proportional to the value of the x variable. In other words the x and y increase or decrease proportionately. If the x value decreases the y value decreases. If the x value increases so does the y value. Now in a quadratic relationship it is a little different in that this kind of function is actually in the shape of a parabola. The equation for this relationship is ax2 + bx + c = y. The parabolic relationship exists when one variable depends on the square of another and this relationship is often expressed in saying that the y variable varies directly with the square of the x variable.

If y=4/7, then the line is a horizontal line. This means that there is infinite change in the x value without any change in the y value, so slope (change in y/ change in x) will be 0 divided by any number. Thus the slope is 0.

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the Y value decreases.

Assuming that the equation is y = 3x + 2, y decreases by three times as much as the decrease in x.

You're thinking of 'inverse' proportion. Here's how it works. Let's say 'y' is proportional to 'x', meaning that a change in 'x' causes a change in 'y'. We also need a constant number, call it 'K'. If 'y' is directlyproportional to 'x', then they both change in the same direction. If 'x' doubles, then 'y' doubles. If 'x' gets 2.93 times bigger, then 'y' also gets 2.93 times bigger etc. You'd express the relationship as: y=Kx. If 'y' is inverselyproportional to 'x', then they change in opposite directions, as you described in your question. If 'x' doubles, then 'y' decreases to 1/2 of what it was originally. If 'x' gets 10 times as big, then 'y' becomes 1/10 as big. This relationship is written: y = K/x.

You don't.You could find percent of change but first you would have to learn to check your spelling!Suppose the value changes from X to Ythe change is (Y - X)the proportional change is (Y - X)/X = (Y/X - 1)the percentage change is 100*(Y/X - 1)that is,100*(New Value/Old Value - 1)

If a function Y is dependent on X. if X increases in value then Y also increases then we call this a positive relationship. If X increases in value then Y decreases or vice versa then we call this a negative relationship.

A linear equation has a constant rate of change, or slope (change in y (dependent) value over change in x (independent) value), when graphed forms a straight trend line, and is in the format y=mx+b (y is dependent value, m is slope, x is independent value, and b is the y-intercept (the value of y when x=0).

linear if xy = 20, then y = 20/x or y = 20(1/x) So x can be positive or negative but not zero: There are 3 cases: Case 1: if x = 20, then y is constant, y = 1. Case 2: a) if x > 0, and if x → 0+, then y → ∞ (if x decreases but not reaches zero, then y increases without end). b) if x < 0 and if x → -∞, then y → 0 (if x decreases, then y increases and approaches to zero). Case 3: a) if x > 0 and if x → ∞, then y → 0 (if x increases, y decreases and approaches to zero) b) if x < 0, and if x → 0-, then y → -∞ (if x increases but not reaches zero, then y decreases without end).

Y would decrease in value as X increases in value.

Given that it does not change directly with x, and it is y = 15 when x = 5, find the value ofi y at x = 7

slope

If you mean when an equation or data set is graphed, then I can answer. For an equation to be linear (create a line on a graph) it must be in the y=mx+b format, with y being the y-value, x being the x-value, b being the y-intercept (the value of y when x is 0) and m being the constant rate of change, or slope (the change in y/the change in x).

you can change the value of x to any new value and it has no effect on the value of y.