Answer :
The slope of the line passing through the two points [tex](-4,5)[/tex] and [tex](2,3)[/tex] is [tex]\frac{-1}{3}[/tex]
The formula for finding the slope when two points are given
[tex]y=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\y=\frac{3-5}{2-(-4)} \\y=\frac{-2}{6} \\y=\frac{-1}{3}[/tex]
The slope of the line is [tex]\frac{-1}{3}[/tex]
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