12) Which, if any, of the lines below are parallel or perpendicular? How do you know? Line a: y=\frac{3}{2}x+5 Line b: 2x + 3y = 9 Line c: 6x + 2y = 14

Answer 1

a.y=3/2x+5

b: 2x + 3y =9

c: 6x + 2y = 14

b in slope intercept form is y=-2/3x+3

c in slope intercept form is y=-3x+7

Since -2/3 is the negative reciprocal of 3/2. A and b are perpendicular. Since no lines share a slope, no lines are parallel.