515,404 views
7 votes
7 votes
Change this to slope-intercept form. Keep in mind this is in standard form currently.


(3)/(8) x+(2)/(3) y=5

User Volodymyr Usarskyy
by
2.9k points

1 Answer

15 votes
15 votes

well, is not exactly in standard form, but close enough.

well, let's take a peek at the denominators, hmmmm 8 and 3, well let's get their LCD hmmm that'd be 24 pretty much, so, let's multiply both sides by the LCD of the denominators, that way we do away with the denominators


\cfrac{3}{8}x+\cfrac{2}{3}y=5\implies \cfrac{3x}{8}+\cfrac{2y}{3}=5\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{24}}{24\left( \cfrac{3x}{8}+\cfrac{2y}{3} \right)~~ = ~~24(5)} \\\\\\ 9x ~~ + ~~ 16y ~~ = ~~ 120\implies 16y=-9x+120\implies y=\cfrac{-9x+120}{16}


y=\cfrac{-9x}{16}+\cfrac{120}{16}\implies \implies y=-\cfrac{9}{16}x+\cfrac{15}{2} \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}

User Henrywongkk
by
2.8k points