Question

What is the slope of a line parallel to the line whose equation is 12x-2y=2812x−2y=28. Fully simplify your answer.

Answer 1

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

`12x-2y=28\implies -2y=-12x+28\implies y=\cfrac{-12x+28}{-2} \\\\\\ y=\cfrac{-12x}{-2}+\cfrac{28}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\text{\LARGE 6}} x-14 \qquad \impliedby \begin{array} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}`