Respuesta :

Answer:

m = -2/5

Step-by-step explanation:

The first thing we need to do is find the slope of line B.

m = (y2 - y1) / (x2 - x1)

m = (5 - (-5)) / (3 - (-1))

m = 10 / 4

m = 2 1/2 or 5/2

The slope of a line perpendicular to line B will be the negative reciprocal of 5/2. Just flip the numerator and the denominator and add a minus sign:

5/2 → -2/5

The slope of a line perpendicular to line B would -1/2. This is because the slope of line B is 2 and whenever you’re finding a perpendicular slope you find the reciprocal of the original one. So the reciprocal of 2 is -1/2