Given 2x + 3y = 8 and 4x – Ky = 12, find the value for K so that 6. the lines will be parallel 7. the lines will be perpendicular

Answer 1

2x + 3y = 8

3y = -2x + 8

y = -2x/3 + 8/3

4x - ky = 12

-ky = -4x + 12

y = 4x/k + 12

To be parallel -2/3 = 4/k

To be perpendicular 3/2 = 4/k