Determine if the equations represent parallel lines, perpendicular lines, or neither.

l1: x=4
l2: y=4/5

1 answer

The equation l1: x = 4 represents a vertical line that passes through the point (4, y), where y can be any real number. This line is parallel to the y-axis.

The equation l2: y = 4/5 represents a horizontal line that passes through the point (x, 4/5), where x can be any real number. This line is parallel to the x-axis.

Since l1 is parallel to the y-axis and l2 is parallel to the x-axis, l1 and l2 are perpendicular to each other.