The Linear Function & Its Inverse
by Mike Martin

On this page, you can vary the slope, m, & the y-intercept, b, for a linear function and graph that function and its inverse. Submit real, non-zero values for the slope, m, and any real number for the y-intercept. Enter in the bounds for the x-variable and then the bounds for the y-variable are the same as those for the x-variable.

Assuming the slope, m, is non-zero, the linear function and its inverse may be written as

f ( x ) = m x + b     with     f  -1 ( x ) = (x - b) / m

If the slope is zero for the function, then the function's graph is a horizontal line and the "inverse" is not a function. In this case, the inverse relationship (sometimes called a converse) is a vertical line (with undefined slope) that shares a point with the function on the identity line, y = x.

Enter in the value of the parameters m & b and select the plotting bounds, then press the "Evaluate" button.

m =  

b =  

  ≤   x   ≤  


References:

To be added