Determine if the lines that pass through the given points are parallel, perpendicular or neither. line a: (-8, 8) and (-5, 10) line b: (-7, 12) and (-5. 15)

The equation of the line passing through the points and is

Then

1) the equation of line A is

2) the equation of line B is

Since then lines are not perpendicular.

Since then lines are not parallel.

neither parallel, nor perpendicular

Lines A and B are neither parallel nor perpendicular lines.

Step-by-step explanation:

For two lines,

if their slopes are equal then the lines are parallel; and

if the slope of one line is the negative reciprocal of the slope of the other line, then the two lines are equal.

Finding the slopes of line A and B:

and neither they are the negative reciprocal of each other so the lines A and B are neither parallel nor perpendicular lines.