Question

which points are a distance of 5 units from (2, 3) if $d=sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$? (7, 3) (-1, -1) (0, 3) (2, 8) (-7, 6)

Explanation:

Step 1: Calculate distance for \((7,3)\)

Let \((x_1,y_1)=(2,3)\) and \((x_2,y_2)=(7,3)\).

$$
LATEXBLOCK0
$$

Step 2: Calculate distance for \((-1,-1)\)

Let \((x_1,y_1)=(2,3)\) and \((x_2,y_2)=(-1,-1)\).

$$
LATEXBLOCK1
$$

Step 3: Calculate distance for \((0,3)\)

Let \((x_1,y_1)=(2,3)\) and \((x_2,y_2)=(0,3)\).

$$
LATEXBLOCK2
$$

Step 4: Calculate distance for \((2,8)\)

Let \((x_1,y_1)=(2,3)\) and \((x_2,y_2)=(2,8)\).

$$
LATEXBLOCK3
$$

Step 5: Calculate distance for \((-7,6)\)

Let \((x_1,y_1)=(2,3)\) and \((x_2,y_2)=(-7,6)\).

$$
LATEXBLOCK4
$$

Answer:

\((7,3)\), \((-1,-1)\), \((2,8)\)