Answer: Distance = 10 units.
Explanation:
We will be using the distance formula to find the distance between the two points.
Distance = the square root of (x2 - x1)^2 + (y2 - y1)^2
(4, 1): x1 = 4. y1 = 1.
(-2, 9): x2 = -2. y2 = 9.
Let’s put them in the formula.
D = the square root of (-2 - 4)^2 + (9 - 1)^2.
Solve the parantheses.
D = the square root of (-6)^2 + (8)^2.
Square the numbers in the parantheses.
D = the square root of 36 + 64.
Add 36 and 64.
D = the square root of 100.
Finally, square root 100.
D = 10 units.