Question 346924
Hi,

*Hint: First Use the point-slope formula:
 {{{(y[2] - y[1])/(x[2] - x[1]) = m}}}
to determine the slope of the line
.
(-6, -3) and (3, -6) 
{{{(-6 - (-3))/(3 - (-6)) = m}}}
{{{(-3/9) = m}}}
{{{(-1/3) = m}}}
.
Then use standard slope-intercept equation of a line:
y = m*x + b
{{{y = (-1/3)x + b}}}
.
Substitute one of the points to find "b"
(3, -6)
{{{-6 = (-1/3)3 + b}}}
{{{-5= b}}}
.
{{{y = (-1/3)*x +(-5)}}}
{{{y = (-1/3)*x -5}}}