Given the folllowing lines:
Line a, passes through points (-3,-1) and (3,2)
Line b, passes through points (5,5) and (1,-3)
Line c, x=2y
Line d, 2x+y=-4
Name a pair of parallel lines and a pair of perpendicular lines.

Question

Given the folllowing lines:
Line a, passes through points (-3,-1) and (3,2)
Line b, passes through points (5,5) and (1,-3)
Line c, x=2y
Line d, 2x+y=-4
Name a pair of parallel lines and a pair of perpendicular lines.

anonymous · Answer

parallel lines : A with B

anonymous · Answer

c and d  are perpendicular
line c can be written y = x/2  - the slope is 1/2
line d   can de written  y = -2x -4   - the slope is -2

they are perpendicular because slope of c = -1/slope of d

recall that if slope of line is m then slope of a line perpendicular to it is -1/m.

anonymous · Answer

you find the slope of a and b from the given coordinates by calculating

(y2 - y1 ) / ( x2 - x1)     where the coods are (x1,y1) and (x2, y2)

- if these slope are equal then lines are parallel