Hey there!
We're given 2 points that the line intersects, so we can easily determine the line's slope.
This is the formula:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\bold{\displaystyle\frac{5-(-6)}{-4-(-9)}}[/tex]
[tex]\bold{\displaystyle\frac{5+6}{-4+9}}[/tex]
[tex]\bold{\displaystyle\frac{11}{5}}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{\frac{11}{5} }}}[/tex]
Hope everything is clear.
Let me know if you have any other questions!
#LearningDoesn'tEnd
:-)
[tex]\rule{200}{2}[/tex]