Question 63696
(6,-19) and (-1,y); slope -1 / 7
use the formula
{{{(y[2] - y[1]) / (x[2] - x[1]) = m}}}
{{{ (y - (-19)) / (-1 - 6) = -1 / 7}}}
multiply both sides by 7
{{{(7y + 133) / -7 = -1}}}
multiply both sides by -7
{{{7y + 133 = 7}}}
{{{7y = -126}}}
{{{y = -18}}}
now use
{{{y = mx + b}}}
{{{y = (-1/7)x + b}}}
to find b, use the point (-1,-18)
{{{-18 = (-1/7)*(-1) + b}}}
{{{-18 = 1/7 + b}}}
{{{b = -127/7}}}
{{{y = (-1/7)x - 127/7}}} is the equation