Respuesta :

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].