Question

Writing about Distance

Explain why 1-31 + 191 represents the distance between
the points (-3, -5) and (9,-5).
1

Answer 1

Sample Response: The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

Explanation:

Answer 2

1 - 31 + 191 does not represent the distance of the 2 given points.

The distance between the 2 points is 12

Explanation:

Remember distance formula:
`d = √((x2-x1)^2 + (y2-y1)^2)`

When we plug in our values into the distance formula into a calc,

d =
`√((9-(-3))^2 + (-5-(-5))^2)`

We get d = 12. This does not equal 1 - 31 + 191 (which equals 161).