Question

Write E(-4, -7) F(0,1) in slope-intersect form for perpendicular bisector.

A) y = -3/4x - 3
B) y = 4/3x + 1
C) y = -4/3x - 7
D) y = 3/4x + 7

Answer 1

The equation of the perpendicular bisector is y = -1/2x - 4, which is not listed among the options provided.

Step-by-step explanation:

To find the equation of the perpendicular bisector of line segment EF, we need to find the midpoint of EF and the negative reciprocal of its slope. The midpoint of EF is the average of the x-coordinates and the average of the y-coordinates, which is (-2, -3). The slope of EF is (1-(-7))/(0-(-4)) = 8/4 = 2. The negative reciprocal of 2 is -1/2. So, the equation of the perpendicular bisector in slope-intercept form is y = -1/2x + b. To find b, we substitute the coordinates of the midpoint (-2, -3) into the equation. -3 = -1/2(-2) + b. -3 = 1 + b. b = -4. Therefore, the equation of the perpendicular bisector is y = -1/2x - 4, which is not listed among the options provided.