Question

Find the distance between the points: (-1,-8) and (1,-3) in simplest radical form. PLEASE I NEED HELP

Answer 1

Answer:
`\text{The distance betwe}en\text{ the two points is }\sqrt[]{29}`

Explanations:

The distance between two points of coordinates (x₁, y₁) and (x₂, y₂) is calculated using the formula:

`D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

The coordinates of the points are (-1,-8) and (1,-3)

`x_1=-1,y_1=-8,x_2=1,y_2=-3`

Substituting these points into the distance formula given above:

`\begin{gathered} D\text{ = }\sqrt[]{(1-(-1))^2+(-3-(-8))^2} \\ D\text{ = }\sqrt[]{(1+1)^2+(-3+8)^2} \\ D\text{ = }\sqrt[]{2^2+5^2} \\ D\text{ = }\sqrt[]{4+25} \\ D\text{ = }\sqrt[]{29} \end{gathered}`