QUESTION IMAGE
Question
what is the distance between point j and point k? 3 units which expression represents the distance between point j and point k? |−2| + |1| |−3| + |1| |−2| − |−3| |−2| − |1| (coordinate grid with j (-2, -3) and k (1, -3))
Step1: Analyze coordinates of J and K
Point \( J(-2, -3) \), Point \( K(1, -3) \). Since y - coordinates are same (\( -3 \)), distance is horizontal difference.
Step2: Calculate horizontal distance
Horizontal distance is \( |x_J - x_K| = | - 2 - 1| = | - 3| = 3 \), or using absolute values of x - coordinates: \( | - 2|+|1| \) (because \( | - 2| = 2 \), \( |1| = 1 \), \( 2 + 1 = 3 \)).
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\(|-2| + |1|\)