The length of segment HJ if H lies at (-1,7) and J lies at (8,-5)

Step-by-step explanation:

To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5), we will use the formula for calculating the distance between two points as shown;

D = √(x₂-x₁)²+(y₂-y₁)²

From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5

HJ = √(8-(-1))²+(-5-7)²

HJ = √(8+1)²+(-12)²

HJ = √81+144

HJ = √225

HJ = 15

Hence the length of segment HJ is 15 units