Line e passes through points (1, 15) and (8, 10). Line f passes through points (7, 9) and (2, 2). Are line e and line f parallel or perpendicular?
To determine if two lines are parallel, we need to check if their slopes are equal. To determine if two lines are perpendicular, we need to check if the product of their slopes is -1.
Let's first find the slope of line e.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (1, 15) and (8, 10), the slope of line e is:
slope_e = (10 - 15) / (8 - 1) = -5 / 7
Now, let's find the slope of line f.
Using the points (7, 9) and (2, 2), the slope of line f is:
slope_f = (2 - 9) / (2 - 7) = -7 / -5 = 7 / 5
Since the slopes of line e and line f are neither equal nor the negative reciprocal of each other, we conclude that line e and line f are neither parallel nor perpendicular.