Question

1. 6x+y=-5

Slope:____
y-intercept:____


2. 6x+5y=15
Slope:____
y-intercept:______

Answer 1

`6x+y=-5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-6} x\underset{\stackrel{\uparrow }{b}}{-5}\qquad \impliedby \begin{array}ll \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} \\\\[-0.35em] ~\dotfill`

`6x+5y=15\implies 5y=-6x+15\implies y = \cfrac{-6x+15}{5} \\\\\\ y = -\cfrac{6x}{5}+\cfrac{15}{5}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{6}{5}} x\underset{\stackrel{\uparrow }{b}}{+3}\qquad \impliedby \begin{array}ll \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}`