Find the slope of the line passing through the points:

(i) A(–2, 1) and B(3, –4)

(ii) A(0, –3) and B(2, 1)

(iii) A(4, –9) and B(–2, –1)

(iv) A(2, 5) and B(–4, –4)

Without using the distance formula, prove that the points A(1, 4), B(3, –2) and C(–3, 16) are collinear.

Find the value of k such that the points P(k, 1), Q(2, –5) and R(k - 2, –3) are collinear.

Find the equation of a line parallel to the x-axis and passing through the point (–3, 2).