Points A(−6,1) and B(0,4) are located in a coordinate plane. What is the distance from A to B?
Enter your answer as a number, without units.
Round your answer to one decimal place, if necessary, like this: 42.5
Using the distance formula, we can calculate the distance from point A to B as follows:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Given the coordinates A(-6, 1) and B(0, 4), we can plug the values into the formula:
Distance = sqrt((0 - (-6))^2 + (4 - 1)^2)
= sqrt((0 + 6)^2 + (4 - 1)^2)
= sqrt(6^2 + 3^2)
= sqrt(36 + 9)
= sqrt(45)
Therefore, the distance from A to B is approximately 6.7 (rounded to one decimal place).