Question

Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12 41. y = -6 Show that the lines are parallel, perpendicular or neither. 42. 3x – 4y = 12 4x + 3y =12 44. 4x+10y = 1 2x + 5y = 4 43. x - 5y = -10 5x - y = 1 Find the qui

Answer 1

x=0 solution (33.) -3x+2y = 12. For x-intercept, put y o for y-intercept, put - 3x + 2x0 = 12 1 - 3 x0 +2y =12 2 - - -41 y = 6 ny-intercept = (0,6) x-intercept is (-4,0) I (34) 2x-3y = 32 put y =o 2x-3x0 = 32 x=32 = 16 x-intercept = (160) putt - 2x0-34 = 32 y-intercept = (0, -32) | (35) (-12,3) and €12,-7) slope - difference of y-coordinates difference of x-coordinales = 3-(-7) = 3+ 7 = 10 = undefined -12-(-12) 12+12 0 It means, the line is parallel to y-asies and perpendicular to x-asis (36) (-8,6) and (-8,-1) slope 8 - (-1 = 72 = undefined It means, the line is parallel to y-axis and perpendicular to x-osis

(37) (6,-5) and (-12,-5) Slope = -5-(-5) = 0 = 0 6-(-12) It means the line is parallel to x-asis and perpendicular to y-axis. 38) 3x-2y = 3 24 = 3x-3 y2-3 on comparing with, y=mx+C m = 3 - slope. y=5x +12 Here, m=5 - Slope, (40) x = 6 . It is parallel to y-asies, so its slope is undefined. (41) y=-6 It is parallel to x-asis, so its slope. is zero (92) 32-44=12 -D 4x+3y=12 - slope of ist line, m₂ = - (coefficient of ») Coefficient of y similarly and slope of and lirie, M = -4/5 AM, - 2x -4 = -1 → both lene are perpendecular Now

(43) x-sy=10④ sx-y-1 - fere me = = 5 = 5 m - - = 5 m, m = £x5=1 both lines are neither parallel nor perpendecilar (44) 4x+10y = 1 - 1 2x+s4=4 -③ mg = 4o & my = -2 m, M, Vx+ -4 both lines are 12 tos | 25 neither parallel neb perpendicular Note For two lines to be perpendecular, mm = -1 . For two lines to be parallel, M = M2.