Question

reinforce
find the coordinates of point j, if its distance from point m is 4 units.
m(3, -1)

Explanation:

Step1: Identify line type & formula

Points J and M lie on a horizontal line (same y-coordinate, -1). The distance between two horizontal points $(x_1, y)$ and $(x_2, y)$ is $|x_1 - x_2|$.

Step2: Set up distance equation

Let $J=(x, -1)$. Given distance $|x - 3| = 4$.

Step3: Solve absolute value equation

Case 1: $x - 3 = 4$
$x = 4 + 3 = 7$
Case 2: $x - 3 = -4$
$x = -4 + 3 = -1$

Answer:

The coordinates of point J are $(-1, -1)$ and $(7, -1)$