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Equation for slope for a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] will be:

[tex]\dfrac{y_1-y_2}{x_1-x_2}[/tex]

Using the given points, the equation changes to:

[tex]\dfrac{4-(-9)}{-4-(-7)}[/tex]

[tex]=\dfrac{13}{3}[/tex]

The slope is 13/3, let me know if you need any clarifications, thanks!

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