(RPL) Assessment Tool Kit - WestOne

Candidate’s name
MEM50205 Diploma of Engineering – Technical (Mechanical)
Section 4 – Practical Tasks and Observation Recording Sheets
Demonstration/Observation Checklist
Skill Set 1 – Engineering foundations
Task 2 – Maths assessment
Problem 5 – Graphing linear functions/coordinate geometry
a) i. Find the length of the portion of the straight line 3 x + 4 y = 24 included between the
x and y axes.
ii. Find the area formed by this line and the x and y axes.
Y axis
X axis
b) Determine for the following two points A (–9, 7) and B (15, –1):
i. the distance between the two points
ii. the midpoint of a line joining A and B
iii. the equation of a line through A and B.
c) Determine the equations for each of the following lines:
i. the line whose gradient is 1/3 and passing through the point (0, –5)
ii. the line whose gradient is –1/8 and passing through the point (3, –6)
iii. the line through the point (5, 3) perpendicular to the y axis
iv. the line through the point (5, 3) perpendicular to the line 2x + 3y –7 = 0.
Page 85 of 206 © Department of Education and Training 2009
Version 1, July 2009