Question

What is the slope of the line created by this equation?

Round your answer out to two decimal places.

9x+4y = 4

Answer 1

`9x+4y=4\implies 4y=-9x+4\implies y=\cfrac{-9x+4}{4} \\\\\\ y=\cfrac{-9x}{4}+\cfrac{4}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{9}{4}}x+1\qquad \impliedby \qquad \begin{array}c \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}`