Hey there!
Use the slope formula:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\bold{\displaystyle\frac{-5-(-2)}{3-1}}[/tex]
-5-(-2) is the same as -5+2:
[tex]\bold{\displaystyle\frac{-5+2}{2} =\frac{-3}{2} }[/tex]
Hence, the slope of the given line is
[tex]\boxed{\boxed{\bold{-\frac{3}{2} }}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
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