If the points P, Q and R are collinear, then a slope of line PQ and a slope of line QR are equal.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
PQ → (0, 3), (2, 0).
Substitute:
[tex]m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}=-1.5[/tex]
QR → (2, 0), (4, -3).
Substitute:
[tex]m=\dfrac{-3-0}{4-2}=\dfrac{-3}{2}=-1.5[/tex]
CORRECT :)
Answer: m = -1.5.
