All three lines are parallel to each other.
To determine whether two lines are parallel, perpendicular, or neither, we can examine the slopes of the lines.
The general form of a linear equation is , where
where is the slope and b is the y-intercept.
Let's compare the slopes of the given lines:
Line 1:
Rewrite it in slope-intercept form
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The slope of Line 1 is m₁ = 5/3.
Line 2:
Rewrite it in slope-intercept form
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The slope of Line 2 is m₂ = 5/3.
Line 3:
The slope of Line 3 is m₃ = 5/3.
Since m₁ = m₂, Lines 1 and 2 are parallel.
Since m₁ = m₃, Lines 1 and 3 are parallel.
Therefore, Lines 1, 2, and 3 are all parallel to each other.