Question
Show that the line containing the points $(a, b)$ and $(b, a)$ $a \neq b,$ is perpendicular to the line $y=x .$ Also show that the midpoint of $(a, b)$ and $(b, a)$ lies on the line $y=x$
Step 1
The formula for the slope of a line given two points $(x_1, y_1)$ and $(x_2, y_2)$ is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points into this formula, we get $m = \frac{a - b}{b - a}$. Show more…
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