The problem asks to find the distance between two parallel lines given by the equations $y = -3$ and $y = 1$.

GeometryDistance FormulaParallel LinesCoordinate Geometry
2025/5/11

1. Problem Description

The problem asks to find the distance between two parallel lines given by the equations y=3y = -3 and y=1y = 1.

2. Solution Steps

The two lines are horizontal lines. The distance between them is the absolute difference of their y-intercepts.
Distance =y2y1= |y_2 - y_1|, where y1y_1 and y2y_2 are the y-intercepts of the two lines.
In this case, y1=3y_1 = -3 and y2=1y_2 = 1.
Distance =1(3)=1+3=4=4= |1 - (-3)| = |1 + 3| = |4| = 4.

3. Final Answer

4

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