Find the slope of the line passing through the points(-3,3) and (5,9).

Use the slope formula.

[tex] slope = m = \dfrac{ y_{2} - y_{1} }{ x_{2} - x_{1} } [/tex]

Subtract the y-coordinates.
Subtract the x-coordinates in the same order.
Divide the difference in y by the difference in x.

[tex] slope = m = \dfrac{ 3 - 9 }{ -3 - 5 } [/tex]

[tex] slope = m = \dfrac{ -6 }{ -8 } [/tex]

[tex] slope = m = \dfrac{ 3 }{ 4 } [/tex]