The slope of the line between two points A=(a,b) and B=(c,d) is given by the following formula:
[tex]m=\frac{b-d}{a-c}[/tex]The two points given by the question are (-4,7) and (-6,-4). Then the slope of the line passing through these two points is:
[tex]m=\frac{7-(-4)}{-4-(-6)}=\frac{7+4}{-4+6}=\frac{11}{2}=5.5[/tex]AnswerThen the answer is 5.5.