Question

What is the measure of the line below? If necessary, enter your answer as a fraction in lowest terms using the slash (/) as the equation bar. Do not enter your answer as a decimal number or an equation.

(3, 6) (1, -2)

Answer 1

The measure of the line between the points (3, 6) and (1, -2) is 2√17 in simplest radical form.

Step-by-step explanation:

To find the measure of the line between the points (3, 6) and (1, -2), we can use the distance formula. The distance formula is a formula that calculates the distance between two points in a coordinate plane. It is given by:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Using the coordinates of the two given points, we can substitute the values into the formula as follows:

d = sqrt[(1 - 3)^2 + (-2 - 6)^2]

Simplifying further:

d = sqrt[(-2)^2 + (-8)^2] = sqrt[4 + 64] = sqrt[68]

So, the measure of the line between the points (3, 6) and (1, -2) is √68, which is the same as 2√17 in simplest radical form.