Question

the slope of the line with equation 5x+y=6 is 5

Answer 1

Answer:

$\fbox{\huge\textrm{-5}}$

Step-by-step explanation:

$\mathrm{Isolate}\:y\:\mathrm{for}\:5x+y=6$

$5x+y=6$

$\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}$

$5x+y-5x=6-5x$

$\mathrm{Simplify}$

$y=6-5x$

$\mathrm{Slope\:of\:}6-5x$

$6-5x$

$\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}$

$m=-5$

$\therefore\mathrm{Slope\:of\:}6-5x:\quad m=-5$