Line j passes through points (-14, 53) and (51, -10). Line k passes through points (67, 82) and (4, 17). Are line j and line k parallel or perpendicular?
To determine if two lines are parallel or perpendicular, we need to compare their slopes.
The slope of line j can be calculated using the formula:
slope = (change in y) / (change in x)
For line j, the change in y is: -10 - 53 = -63
The change in x is: 51 - (-14) = 65
Therefore, the slope of line j is -63/65.
Similarly, we can calculate the slope of line k:
The change in y for line k is: 17 - 82 = -65
The change in x is: 4 - 67 = -63
Therefore, the slope of line k is -65/-63 = 65/63.
Since the slopes of line j (-63/65) and line k (65/63) are neither equal nor negative reciprocals of each other, line j and line k are neither parallel nor perpendicular.