(1,7) to (-3, -2) what is the length of the line segment

for any two points (a,b) and (c,d)

the length between them
= √( (c-1)^2 + (d-b)^2 )
= ....

you have the 4 values, just plug in and grind it out
- watch those negatives.

To find the length of the line segment between the points (1, 7) and (-3, -2), we can use the distance formula.

The distance formula is given as:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

Here, (x1, y1) = (1, 7) and (x2, y2) = (-3, -2).

Plugging in the values, we get:

d = √[(-3 - 1)^2 + (-2 - 7)^2]

d = √[(-4)^2 + (-9)^2]

d = √[16 + 81]

d = √97

So, the length of the line segment between the points (1, 7) and (-3, -2) is approximately √97 units.

To find the length of a line segment, we can use the distance formula, given by:

√((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the two points are (1,7) and (-3,-2), so we can substitute these values into the formula:

√((-3 - 1)^2 + (-2 - 7)^2)

Simplifying further:

√((-4)^2 + (-9)^2)

√(16 + 81)

√(97)

The length of the line segment is √97, which is approximately 9.85 units.