Question 273283
we use the slope formula {{{m=((y-y)/(x-x))}}}
{{{-2/3=((8-(-4k))/(5-(-3)))}}}correct the signs
{{{-2/3=((8+4k)/(5+3))}}}add
{{{-2/3=((8+4k)/8)}}}cross multiply
{{{-2(8)=(8+4k)(3)}}}multiply
{{{-16=24+12k}}}subtract 24
{{{-40=12k}}}divide 12
{{{-40/12=12k/12}}}reduce fraction
{{{highlight(-10/3=k)}}}