Question 893
First, find the slope of the line AB
{{{ (3-8)/(2-5) }}}
which is equal to
{{{ 5/3 }}}
then use the formula
{{{ y = mx+b }}}
m is the slope so we can now plug in (5/3) for m
{{{ y = (5/3)x+b }}}
next, plug in (-2,-4) to the equation
{{{ -4 = (5/3)(-2)+b }}}
then, slove for b
{{{ -4 = (-10)/3+b }}}
{{{ -4-(-10/3) = b }}}
{{{ -4+(10/3) = b }}}
{{{ -2/3 = b }}}
Finally, plug in -2/3
{{{y = (5/3)x-(2/3) }}}