coordinate geometry – straight lines - The points A and B have coordinates (2, –3) and (8, 5) respectively, and AB is a chord of a circle with center C(4, \frac{7}{4}), as shown in the diagram.

Krishna (last edited 3 years ago) (Expert, Educator @Qalaxia)

Step 1: Locate the coordinates of the endpoints.

EXAMPLE: The two endpoints M (2, 1) and N (6, 4). Therefore,

(x_1, y_1) = (2, 1) and (x_2, y_2) = (6, 4).

Step 2: Plug the corresponding coordinates into the Distance Formula. .

FORMULA:

d = \sqrt{(x_2 - x_2)^2 + (y_2 -y_1)^2}

EXAMPLE: Endpoints M (2, 1) and N (6, 4).

d = \sqrt{(6 - 2)^2 + (4 - 1)^2}

Step 3; Calculate the subtraction in parentheses.

Step 4: Square the value in parentheses.

Step 5: Add the numbers under the radical sign.

Step 6: Compare the answer with the given answer.