contestada

Use DE←→ and FG←→ to answer the question. DE←→ contains the points D(1,−2) and E(3,4). FG←→ contains the points F(−1,2) and G(4,0). Is DE←→ perpendicular to FG←→? Why or why not? A.No, because the product of the slopes is not −1. B.Yes, because the product of the slopes is −1. C.No, because the product of the slopes is not 1. D.Yes, because the product of the slopes is 1.

Respuesta :

Answer:

A. No, because the product of the slopes is not -1

Step-by-step explanation:

The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

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

Therefore:

  • Slope of DE (m1) = (4 - (-2))/(3 - 1) = 3
  • Slope of FG (m2) = (0 - 2)/(4 - (-1)) = -0.4

Two lines are perpendicular if the product of their slopes is equal to minus one. In this case, m1*m2 = 3*(-0.4) = -1.2 ≠ -1