The slope formula is:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Let:
[tex](x_{1} , y_{1}) = (5 , 7)\\(x_{2} , y_{2}) = (3 , 4)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{(4) - (7)}{(3) - (5)} = \frac{-3}{-2} = \frac{3}{2}[/tex]
Your slope is:
[tex]m = \frac{3}{2}[/tex]
