Question

Determine if the lines are parallel, perpendicular, or neither. Use a forward slash for fractions.

Line a: (0,4) and (6,0)
Line b: (4, -1) and (6,2)

Answer 1

The lines a and b are neither parallel nor perpendicular.

Step-by-step explanation:

The lines a and b can be determined by finding their slopes. The slope of a line is given by the formula m = (y2 - y1) / (x2 - x1). Let's calculate the slopes:

Line a: m = (0 - 4) / (6 - 0) = -4/6 = -2/3.

Line b: m = (2 - (-1)) / (6 - 4) = 3/2.

Since the slopes of the lines are not equal and their product is not -1, the lines a and b are neither parallel nor perpendicular. They are just two non-parallel lines that intersect at some point.