Question

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point j and point k are reflections of each other across the y-axis. what is the distance between point j and the origin? 3 units. what is the distance between point k and the origin? 3 units. what is the distance between point j and point k? blank units.

Explanation:

Step1: Identify coordinates of J and K

From the graph, point \( J \) is at \( (3, 0) \) and point \( K \) is at \( (-3, 0) \).

Step2: Calculate distance between J and K

The distance between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \). Here, \( y_1 = y_2 = 0 \), so \( d=\vert x_2 - x_1\vert \). Substituting \( x_1 = 3 \) and \( x_2=- 3 \), we get \( d=\vert - 3 - 3\vert=\vert - 6\vert = 6 \).

Answer:

6