help it is easy but I am just tired

Determine which of the lines, if any are perpendicular.

Line a passes through (2, 10) and (4, 13).

Line b passes through (4, 9) and (6, 12).

Line c passes through (2, 10) and (4, 9).

Given:

Line a passes through (2, 10) and (4, 13).

Line b passes through (4, 9) and (6, 12).

Line c passes through (2, 10) and (4, 9).

To find:

Which of the lines, if any are perpendicular.

Solution:

If a line passes through two points, then the slope of line is

Line a passes through (2, 10) and (4, 13).  So, slope of this line is

Line b passes through (4, 9) and (6, 12).  So, slope of this line is

Line c passes through (2, 10) and (4,9).  So, slope of this line is

Product of slopes of to perpendicular lines is -1.

Therefore, any of these lines are not perpendicular to each other.

d is ur answer hopes this i dont really know how to explain it to u.