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If a line has slope​ a, what is the slope of its reflection across the line y​=x?
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Part 1
The slope of its reflection across the line y=x will be

Sagot :

Check the picture below.

notice the reflected gray line on the red one over the y=x line, the slope of either line across the y=x line is simply the other's upside-down.

[tex]\stackrel{\textit{slope of line "a"}}{a\implies \cfrac{a}{1}}\hspace{5em}\stackrel{\textit{slope of its reflection}}{\cfrac{1}{a}}[/tex]

View image Jdoe0001
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