Answer:
The answer is
[tex] - \frac{1}{2} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2,3)(-4,6)
The slope is
[tex]m = \frac{6 - 3}{ - 4 - 2} = \frac{3}{ - 6} = - \frac{3}{6} = - \frac{1}{2} \\ [/tex]
We have the final answer as
[tex] - \frac{1}{2} \\ [/tex]
Hope this helps you