Write an equation of the line that passes through a pair of points: (2, 3), (4, -2) a. y = -5/2 x -1/8
b. y = -5/2x -8
c. y = -5/2x +8
d. y = 5/2x +8

C. y = -5/2x +8

Step-by-step explanation:

To solve first find the slope using the slope formula which is m=. To find the slope simply plug in the points, which equals -5/2. Next, put the equation into slope-point form, which is . I will use the point (2,3). y-3=-5/2(x-2), then solve for y which equals y=-5/2+8.

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.