True
Explanation
the slope of a lines is the change in y over the change in x
[tex]\text{slope}=\frac{change\text{ in y}}{\text{change in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]where
[tex]\begin{gathered} \text{P1}=(x_1,y_1) \\ P2=(x_2,y_2) \end{gathered}[/tex]Step 1
Now, to prove , make
[tex]\begin{gathered} P1(x_2,y_2) \\ P2(x_1,y_1) \\ \end{gathered}[/tex]now, replace
[tex]\begin{gathered} \text{slope}=\frac{y_1-y_2}{x_1-x_2} \\ \text{slope}=\frac{y_1-y_2}{x_1-x_2}=\frac{-(y_2-y_1)}{-(x_2-x_1)}=\frac{(y_2-y_1)}{(x_2-x_1)} \end{gathered}[/tex]and we get the same slope, it does not matter wich one of the two points we choose to call P1 and P2.
True
I hope this helps you
