Answer:
- 2.21 units
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Given lines:
- 3x + y = 1 and y + 6 = - 3x
Convert both equations to slope-intercept form of y = mx + b:
- 3x + y = 1 ⇒ y = - 3x + 1
- y + 6 = - 3x ⇒ y = - 3x - 6
Slopes are same, so these are parallel lines, and the distance between parallel lines is:
, where b₁, b₂ - y-intercepts, m- slope
Substitute and calculate: