We have to find the slope of these lines using the slope formula <span>slope = (y2 - y1) / (x2 - x1) </span>
<span>Line WX : </span> <span>(-1,2) x1 = -1 and y1 = 2 </span> <span>(4,12) x2 = 4 and y2 = 12 </span> <span>now sub into the slope formula </span> <span>slope = (12 - 2) / (4 - (-1) </span> <span>slope = 10/(4 + 1) </span> <span>slope = 10/5 which reduces to 1/2 </span> <span>so the slope of line WX = 1/2 </span>
<span>Line YZ : </span> <span>(5,8) x1 = 5 and y1 = 8 </span> <span>(-2,-6) x2 = -2 and y2 = -6 </span> <span>now we sub into slope formula </span> <span>slope = (-6-8) / (-2-5) </span> <span>slope = -14/-7 </span> <span>slope = 1/2 </span> <span>so the slope in line YZ = 1/2 </span>
<span>Line WX and line YZ are : (D) parallel because the slopes are the same.</span>