حل السؤال 23، 4MA1/1H يونيو 2019: المنصف العمودي

1. 1(10 + 2) / 2 = 6
2. 2(19 + 7) / 2 = 13
3. 3midpoint of BD is (6, 13)
4. 4(19 − 7) / (10 − 2) = 12 / 8 = 3/2
5. 5gradient of BD is 3/2
6. 6gradient of AC is −2/3 because perpendicular to BD
7. 7using y = mx + c with m = −2/3 and point (6, 13)
8. 813 = (−2/3)(6) + c
9. 913 = −4 + c
10. 10c = 17
11. 11y = (−2/3)x + 17
12. 12multiply through by 3: 3y = −2x + 51
13. 133y + 2x = 51

Answer3y + 2x = 51