Question

The coordinate plane shows MP.

Both coordinates of M and P are integers. What
is the length, in units, of MP?

Answer 1

Answer to The coordinate plane shows overline MP. Both coordinates of points M and P are integers. What is the length, in units, of overline MP

Answer 2

The length of the line segment MP on a coordinate plane, where M and P have integer coordinates, can be found using the distance formula derived from the Pythagorean theorem.

Step-by-step explanation:

To find the length of the line segment MP on a coordinate plane when both coordinates of M and P are integers, you can use the distance formula derived from the Pythagorean theorem. The distance formula is:

d = √((x_2 - x_1)² + (y_2 - y_1)²)

Where d is the distance between the two points, (x_1, y_1) are the coordinates of the first point, and (x_2, y_2) are the coordinates of the second point. Simply substitute the integer values of the coordinates into the formula and calculate the distance. The result will give you the length of MP in units. As an example, if M has coordinates (3, 4) and P has coordinates (6, 8), the calculation would be:

d = √((6-3)² + (8-4)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5 units

The length of MP in this case would be 5 units.