Assignment

BUS 210- Practice Problems (Straight lines)
Consider the following points:
P (5,8), Q(10,10), R(5,-2), S(10,0), G(4,-1), T(8,2), U(3,4) and V(6,0).

(i)    Plot the given points on the x & y-axes.

(ii)    Join points P&Q, R&S, G&T and U&V

(iii)    Find for each of lines PQ,RS,GT & UV,
    - The lenght (in unit of lenght)
    - The slope
    - The acute angle which the line makes with the x-axis
    - The equation of the line
    - Identify which of the lines are equal lenght

(iv)    Identify which line are -parellel -perperdicular

(v)    If points A,B,C & D are respectively the meeting points of lines PQ & UV, GT & UV, RS & UV and RS & GT, determine the coordinates of these meeting points

(VI)    Determine the ratio into which
    - Point A divides lines UV and PQ
    - Point B divides lines UV and GT
    - Point C divide lines UV and RS
    - Point D divide lines GT and RS

Identify which of these divisions is internal or external.
Find the obtuse angle between
    - PQ & UV
    - UV & RS
    - GT & RS