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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Two lines are perpendicular if and only if the product of their slopes are equal to $-1.$ Consider the first equation. $y=51 x+1 $ Here, the slope is $51 .$ This means that the slope $m_{2}$ of any perpendicular line will satisfy the equation $51 ⋅m_{2}=-1.$ To find this slope we'll multiply both sides by $5.$ $m_{2}=-5$ We can see that in Ron-Jon's equation he wrote the slope $5,$ which is incorrect. The correct equation should be $y=-5+6.$