Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
The slope formula is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Here, [tex]x_{1}[/tex] is -6, [tex]x_{2}[/tex] is 4, [tex]y_{1}[/tex] is -5, and [tex]y_{2}[/tex] is 4.
[tex]m=\frac{4+5}{4+6}[/tex]
[tex]m=\frac{9}{10}[/tex]
So, the slope of the line passing through the points (-6,-5) and (4,4) is [tex]\frac{9}{10}[/tex].