Final answer:
The distance between points M(1, -3) and N(9, 10) is approximately 15.3 units, when rounded to the nearest tenth.
Step-by-step explanation:
To find the distance between two points M(1, -3) and N(9, 10), we use the distance formula which derives from the Pythagorean theorem. The formula is:
d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)
Let's plug in the values:
d = √((9 - 1)^2 + (10 - (-3))^2) = √((8)^2 + (13)^2) = √(64 + 169) = √(233)
The approximate distance is √(233), which we can round to the nearest tenth. Using a calculator, we find that the distance, d ≈ 15.3 units. Therefore, the distance between points M and N is 15.3 units.