Math 24125015 Fall 2017 uiz Bonus Quiz 3 104 106 07 121 122

Math 2412-5015 Fall 2017 uiz: Bonus Quiz # 3 (10.4, 10.6, 0.7, 12.1, 12.2, 12.3, 12.4) untaiz This Quiz: 16 pts possible 16 of 16 (13 complete) his Question: 1 pt Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve. x=31+5, y=t+4; 0sts4 Choose the correct graph below. O B. 12 O C. O D. OA. Q 30 Ay .8 30 0 12 0 The rectangular equation of the curve is Click to select your answer(s).

Solution

x = 3t + 5

y = t + 4

t = y - 4

plugging this value of t into 1st equation

x = 3 ( y - 4 ) +5

x = 3y - 12 + 5

x= 3y - 7

y = ( x+7 ) /3

hence, rectangular equation is y = ( x+7 ) / 3

option b graph is correct