y-1/7x-2 & x-7y=4 are intersecting but not parallel or perpendicular lines.
Two lines are parallel if they have the same slope (or no slope at all), and two lines are perpendicular if the product of their slopes is -1. To determine if lines are parallel or perpendicular, you can find their slopes and check if they are equal or if the product of their slopes is -1.
The first line y-1/7x-2 can be rewritten in slope-intercept form y = mx + b as y = 1/7x + 2
The second line x-7y=4 can be rewritten in slope-intercept form y = mx + b as y = x/7 - 4/7
The slopes of the two lines are 1/7 and -1/7 respectively. The product of the slopes of two lines is 1/49 which is not -1, that means that the two lines are not perpendicular. Also, the slopes are not equal, which means that the lines are not parallel.
Therefore, the two lines y-1/7x-2 & x-7y=4 are intersecting but not parallel or perpendicular lines.