If \( \mathrm{L} \) is the line whose equation is \( a x+b y=c \). Let \( M \) be the reflection.... VIDEO
If \( \mathrm{L} \) is the line whose equation is \( a x+b y=c \). Let \( M \) be the reflection of \( L \) through the \( y \)-axis, and let \( N \) be the reflection of \( L \) through the \( x \)-axis. Which of the following must be true about \( M \) and \( N \) for all choice of \( a, b \) and \( c \) ?
(1) The \( x \)-intercepts of \( M \) and \( N \) are equal.
(2) The \( y \)-intercepts of \( M \) and \( N \) are equal.
(3) The slopes of \( M \) and \( N \) are equal.
(4) The slopes of \( M \) and \( N \) are reciprocal.
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