Question 84703

Slope of the line that contains the points (4,-3) and (5,5) = (5-(-3))/(5-4)

                                                            = (5+3)/1

                                                            = 8

Slope of the line that contains the points (-2,-3) amd )-4,1) 

= (1-(-3))/(-4-(-2))

= (1+3)/(-4+2)

= 4/-2

= -2

As both the slopes are not equal, the lines are not parallel.