can you please explain questions 6-10 in detail and add all the steps. the answers are provided I really need help getting to them though

a) P(12, 36) b) P(-7, 26) c) P(1, 6) d) P(-3, 15) 5) Write a vector equation for each line, given the parametric equations. alex = 2-4t ble: * = 8 - 9t "by =1- 5t fly=3 6) Given each set of parametric equations, write the scalar equation. alex = 3+ 4t x = 2+8: By= -1-5t bly = -5+7: 7) Write the scalar equation of each line given the normal vector ni and point Po. a) 7 = [4.1], Po (3,-5) b) 7 = [1, -3], P. (4.3) 8) Determine the vector equation of each line. a) parallel to the y-axis and through Po(2, -7) b) parallel to [x, y] = [3, -1] + t[3, 4] and through Po(-2, 4) c) perpendicular to [x, y] = [2, -1] + t[5, 3] with x-intercept 3 9) Given each scalar equation, write a vector equation and the parametric equations. a) x+ 2y = 6 b) 5x - 2y = 13 10) In each case, determine if /, and 42 are parallel, perpendicular, or neither. Explain. a) 41:4x - 6y = 9 blix+ 9y =2 42: [x, y] = [6.3] + +[3.2] x=t laity = 15 + 9t Answers: 1)a) [x, y] = [9, 4] + t[2, -7] b) [x, y] = [3, 7] + t[-1, 5] 2)a) [x, y] = [2,3] + t[5, -2] b) [x, y] = [5, -1] + t[-7,8] 3)a) e: (x = 7 +2t y= 3+5t b) e: (x= -1 + 8t y=4-9t 4)a) No b) Yes c) Yes d) No 5)a) [x, y] = [2, 1] + t[-4, -5] b) [x, y] = [8, 3] + t[-9, 0] 6)a) 5x + 4y-11 = 0 b) -7x+ 8y +54 = 0 7)a) 4x + y - 7=0 b) x - 3y +5=0 8)a) [x, y] = [2, -7] + t[0, 1] b) [x, y] = [-2, 4] + t[3, 4] c) [x, y] = [3, 0] + t[-3, 5] 9)a) [x, y] = [2,2] + t[-2,1]; x = 2 - 2t, y = 2+t b) [x, y] = [3,1] + t[2,5]; x = 3 + 2t, y = 1 + 5t 10)a) parallel b) perpendicular