Apoint h on a segment with endpoints b(3, −1) and z(12, 5) partitions the segment in a 5: 1 ratio. find h. you must show all work to receive credit.

The distance between the two points is calculated through the equation, 
                                 d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting,
                                  d = √(12 - 3)² + (5 - -1)² = 10.82 
Then, we divide this value by 6 which gives us the answer of 1.8. 
    (point B)              d = √(x₃ - 3)² + (y₃ - -1)² = 9
     (point Z)             d = √(x₃ - 12)² + (y₃ - 5)² = 1.82

The values of x₃ and y₃ in the equations above are 10.5 and 4. Thus, the coordinates are (10.5, 4). 

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

answer: the slope is equal -1.