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Grade 11 · Analytical Geometry
Analytical Geometry: Lines & Inclination (Grade 11)
MEMORANDUM
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Class:
Date:
Mark
/ 18
Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.
- 1Determine the gradient of the line through A(−1 ; 2) and B(3 ; 10).(2)(10 − 2)/(3 + 1) = 2✓✓ (2)
- 2Determine the equation of the line through A(−1 ; 2) and B(3 ; 10).(3)y = 2x + 4✓✓✓ (3)
- 3Determine the length of AB where A(−1 ; 2) and B(3 ; 10).(2)√(4² + 8²) = √80 = 4√5 ≈ 8,94✓✓ (2)
- 4Determine the midpoint of AB where A(−1 ; 2) and B(3 ; 10).(2)(1 ; 6)✓✓ (2)
- 5Determine the equation of the line through (2 ; 5) perpendicular to y = 2x + 4.(3)m = −1/2 → y = −1/2x + 6✓✓✓ (3)
- 6Determine the equation of the line through (0 ; 1) parallel to y = 2x + 4.(2)y = 2x + 1✓✓ (2)
- 7Determine the angle of inclination of y = 2x + 4 (one decimal).(2)tanθ = 2 → θ ≈ 63,4°✓✓ (2)
- 8Determine the angle of inclination of a line with gradient −1.(2)ref = 45°, obtuse → θ = 135°✓✓ (2)
TOTAL: 18 marks