You can put this solution on YOUR website! describe the relationship between the graph of y=2x +1 and it's reflection across the line y=x
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The reflected line will have the equation (using capital X & Y to differentiate this as the reflected line: which can be found as follows:
Start with and solve for x: . Then replace y with X and x with Y to get
For every (a,b) on y=2x+1, if you project horizontally to y=x then vertically to Y=(1/2)X-1/2 you will find it meets the reflection at X=b, and Y=a.
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Black line:
Green line:
Red line:
The two lines intersect at (-1,-1)
