The slope of the line that goes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is:
[tex]\dfrac{y_1-y_2}{x_1-x_2}[/tex]
The two points we are given is (7,9) and (2,12). Substitute these values into the formula for the slope
[tex]=\dfrac{12-9}{2-7}[/tex]
Simplify
[tex]=\dfrac{3}{-5}[/tex]
Simplify again
[tex]=-\dfrac{3}{5}[/tex]
This should be your answer. Let me know if you need any clarifications, thanks!
~ Padoru
