Question

2. A line passes through the points E(-1, 4) and F(3,-2). Which of the following is the slope of a line that is
perpendicular to EF?

Answer 1

Answer:

  (1)  2/3

Step-by-step explanation:

The slope of EF can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -4)/(3 -(-1)) = -6/4 = -3/2

The slope of the perpendicular line is the opposite reciprocal of this.

  m' = -1/(-3/2) = 2/3

The slope of a line perpendicular to EF is 2/3.