The line segment goes through (-2,3) and (1,-3).
The slope of the line is
[tex] \frac{-3-3}{1-(-2)} = \frac{-6}{3} =-2[/tex]
Therefore the equation of the line segment is of the form
y = -2x + b
Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1
Answer: The equation is y = -2x - 1
