Question

The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.

Answer 1

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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

PQ → (0, 3), (2, 0).

Substitute:

$m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}=-1.5$

QR → (2, 0), (4, -3).

Substitute:

$m=\dfrac{-3-0}{4-2}=\dfrac{-3}{2}=-1.5$

CORRECT :)

Answer: m = -1.5.