I have the line y=ax + b
I am told that y=-ax + b is an inverse of the first line. Why is this so? I know that inverses are symmetrical about the line y=x. I graphed y=ax+3 and y=-ax+3, and they do not seem symmetrical about the line y=x to me.
I have the line y=ax + b
I am told that y=-ax + b is an inverse of the first line. Why is this so? I know that inverses are symmetrical about the line y=x. I graphed y=ax+3 and y=-ax+3, and they do not seem symmetrical about the line y=x to me.
Because the statement is not true, you can determine the inverse of by changing and and solve back to y=.., like this:
Calculating the inverse:
For example:
The inverse function has to be
Now look at the graphs of this functions, they're symmetrical towards the first bissectrice (y=x).