Question

(04.01r lc)

segment ab has point a located at (4, 2). if the distance from a to b is 3 units, which of the following could be used to calculate the coordinates for point b?

\\(3 = \sqrt{(x-2)^2 + (y-4)^2}\\)

\\(3 = \sqrt{(x-4)^2 + (y-2)^2}\\)

\\(3 = \sqrt{(x+2)^2 + (y+4)^2}\\)

\\(3 = \sqrt{(x+4)^2 + (y+2)^2}\\)

Explanation:

State the distance formula and given values

$$
LATEXBLOCK0
$$

Substitute the coordinates into the formula

$$ 3 = \sqrt{(x - 4)^2 + (y - 2)^2} $$

Answer:

• (A) \(3 = \sqrt{(x-2)^2 + (y-4)^2}\)
• (B) \(3 = \sqrt{(x-4)^2 + (y-2)^2}\) (Correct answer)
• (C) \(3 = \sqrt{(x+2)^2 + (y+4)^2}\)
• (D) \(3 = \sqrt{(x+4)^2 + (y+2)^2}\)