A line contains points (2, -2) and (-4, 1). Another line graphed in the same coordinate plane contains points (1, 2) and (-3, 4). Based on the slopes of these lines, are they parallel, perpendicular or neither?

Question

campbell_st · Answer

slope of line 1 (2,-2) and (-4, 1) 

m = (1 - (-2))/((-4) - 2)

m = 3/(-6)

m = -1/2

2nd line (1,2)(-3, 4)

m = (4 -2)/((-3) -1)

m = 2/(-4)

m - -1/2

the lines are parallel as they have the same gradient.