What is the distance between the points (11,18) and (11,-6) in the coordinate plane?
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) using the square root of the sum of the squares of the differences between the x-coordinates and y-coordinates.
In this case, the coordinates of the points are (11, 18) and (11, -6).
To apply the distance formula, follow these steps:
Step 1: Determine the x-coordinates and y-coordinates of the two points.
Point 1: (x1, y1) = (11, 18)
Point 2: (x2, y2) = (11, -6)
Step 2: Calculate the difference between the x-coordinates.
Δx = x2 - x1 = 11 - 11 = 0
Step 3: Calculate the difference between the y-coordinates.
Δy = y2 - y1 = -6 - 18 = -24
Step 4: Square the differences.
(Δx)^2 = 0^2 = 0
(Δy)^2 = (-24)^2 = 576
Step 5: Add the squared differences.
(Δx)^2 + (Δy)^2 = 0 + 576 = 576
Step 6: Take the square root of the sum.
√576 = 24
The distance between the points (11, 18) and (11, -6) is 24 units.
You must learn and memorize the "distance between two points" formula.
It has to be in your text or in your notes.