book Maths Puzzle Numerical Ability

when given a number of points (i.e 2) the number of lines to join the points is 1. 3 points require 3 lines, 5 points require 10 lines. how would i express this in an algebraic f

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book Other Question

If a and b are negative and c is positive, determine whether the following are positive or negative.
(a) (-a)(-c)

(b) (-a)(b)

(c) (c-b)(c-a)

(d) a(b - c) WHICH IS THE SOLUTION OF THE SYSTEM GIVEN BELOW?

Y=-X+2
Y=-X-5

A. (2,1) B. (2,5)
C. NO SOLUTION D. INFINITELY MANY SOLUTIONS