PLEASE HELP Which lines are perpendicular to B

Question

The slope of the line b is -3/2

Select each correct answer

Line a: (1,7) and (4,9)

Line c: (14,-1) and (5,-7)

Line e: (0,-3) and (2,-6)

Line d: (1,8) (3,11)

Answer 1

To find the slope of a line that is perpendicular to a line, flip the slope over (take the reciprocal) and put a negative in front of it. So lines perpendicular to a line with slope -3/2 will have a slope of +2/3 or 2/3.

To find the slope of each of the lines a, c, e, and d, use the slope formula:

where (x1, y1) and (x2, y2) are the points.

Example, the slope of the line between (1,7) and (4,9) is (9 - 7)/(4 - 1) = 2/3 so this IS perpendicular to line b