QUANTITATIVE MODELLING (DSC1520)
ASSIGNMENT 1
SEMESTER 2 (2020)
𝑦2 − 𝑦1 4−0 4
𝑠𝑙𝑜𝑝𝑒, 𝑚 = = = = −2
𝑥2 − 𝑥1 2−4 −2
𝐸𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑏𝑒𝑐𝑜𝑚𝑒𝑠 2𝑥 + 𝑐
𝑈𝑠𝑒 𝑡ℎ𝑒 𝑝𝑜𝑖𝑛𝑡 (2: 4)𝑓𝑜𝑟 𝑓𝑖𝑛𝑑 𝑐 𝑡ℎ𝑒 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡
𝑦 = 𝑚𝑥 + 𝑐
4 = 2𝑥 + 𝑐
4 = 2(−2) + 𝑐
4 = −4 + 𝑐
c=8
𝑇ℎ𝑒 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑖𝑠 𝑦 = −2𝑥 + 8
Option (3)
1
ASSIGNMENT 1
SEMESTER 2 (2020)
𝑦2 − 𝑦1 4−0 4
𝑠𝑙𝑜𝑝𝑒, 𝑚 = = = = −2
𝑥2 − 𝑥1 2−4 −2
𝐸𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑏𝑒𝑐𝑜𝑚𝑒𝑠 2𝑥 + 𝑐
𝑈𝑠𝑒 𝑡ℎ𝑒 𝑝𝑜𝑖𝑛𝑡 (2: 4)𝑓𝑜𝑟 𝑓𝑖𝑛𝑑 𝑐 𝑡ℎ𝑒 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡
𝑦 = 𝑚𝑥 + 𝑐
4 = 2𝑥 + 𝑐
4 = 2(−2) + 𝑐
4 = −4 + 𝑐
c=8
𝑇ℎ𝑒 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑖𝑠 𝑦 = −2𝑥 + 8
Option (3)
1
