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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Parallel lines have the same slope. Therefore, the slope of a parallel line to $y=52 x+3$
is $52 ,$ and **not** $-52 .$ This is the mistake Ron-Jon made. To form our equation we'll substitute $m$ with $52 $ in the slope-intercept form.
$y=52 x+b $
Now, to complete the equation we need to find $b.$ For parallel lines, the $y$-intercepts can't be equal, $b =3.$ We can choose any other value of $b$ than $3.$ For example, $-3$ as Ron-Jon did.
$y=52 x−3.$