Toronto Math Forum

MAT334--2020F => MAT334--Tests and Quizzes => Quiz 1 => Topic started by: Sisi Jiang on September 24, 2020, 09:30:48 AM

Title: Quiz1 -Section 6101
Post by: Sisi Jiang on September 24, 2020, 09:30:48 AM
Question: Describe the locus of points z satisfying the given equation:
                               Re[(4+i)z+6] = 0
Answer:
                        z = x+ iy
                  Re[(4+i)(x+iy)+6]=0
                  Re[4x+4iy+ix-y+6]=0
                       4x-y+6=0
                       y= 4x+6

       The answer is the line y= 4x+6