Answer:
The correct option is B.
Step-by-step explanation:
The slope of a line represents the change in variable y with respect to x.
[tex]m=\frac{Rise}{Run}[/tex]
If a line passes through two point [tex](x_1,y_1)[/tex] and [tex](y_1,y_2)[/tex], then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
It can be written as
[tex]m=\frac{-(-y_2+y_1)}{-(-x_2+x_1)}[/tex]
Cancel the negative sign.
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
Since [tex]m=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}=\frac{y_1-y_2)}{x_1-x_2}[/tex], therefore these formulas give you the correct slope.
[tex]m\neq \frac{y_2-y_1}{x_1-x_2}[/tex]
This formula will give you the incorrect slope.
Therefore the correct option is B.
