Identify the equation in point-slope form for the perpendicular bisector of the segment with endpoints J(−24,−4) and K(−4,6). Option A:

y + 6 = 2(x − 4)

Option B:

y − 6 = 2(x + 4)

Option C:

y + 1 = −2(x − 14)

Option D:

y − 1 = −2(x + 14)

Given:

Endpoints of a segment are J(−24,−4) and K(−4,6).

To find:

The equation in point-slope form for the perpendicular bisector of JK.

Solution:

Slope of JK is

Product of slopes of two perpendicular lines is -1. So, product of perpendicular line of JK is -2.

Perpendicular bisector of JK passes through the midpoint of JK.

Point slope form:

where, m is slope.

Perpendicular bisector of JK passes through (-14,1) with slope -2. So, the point slope form of JK is

Therefore, the correct option is D.

the answer is 18 units because there are 18 small cubes inside the rectangle

hope this and p.s i am also in k12

step-by-step explanation:

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees