Question:
Solution:
By definition, the slope of the line is given by the following equation:
[tex]m\text{ = }\frac{Y2-Y1}{X2-X1}[/tex]
where (X1,Y1) and (X2,Y2) are points on the line. In this case, take any two points on the line and replace them in the above equation. Take for example:
(X1,Y1) =(-3,3)
(X2,Y2) = (3,0)
then we have:
[tex]m\text{ = }\frac{Y2-Y1}{X2-X1}=\text{ }\frac{0-3}{3-(-3)}=\frac{-3}{3+3}=\frac{-3}{6}=\text{ }\frac{-1}{2}[/tex]
we can conclude that the correct answer is:
[tex]m\text{ = - }\frac{1}{2}[/tex]
