This week, I learned about parallel and perpendicular lines in math. At first, I didn’t fully understand the topic, so I decided to review it more thoroughly for my blog post. Here’s a summary of what I learned

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1. Parallel Lines

• Two lines are parallel if they never meet, no matter how far they are extended.
• Example:
  • Line 1: y=2x+3
  • Line 2: y=2x−5
  • Both lines have the same slope (m=2), so they are parallel.

2. Perpendicular Lines

• Two lines are perpendicular if they intersect at a right angle (90∘).
• For perpendicular lines, the slopes are negative reciprocals of each other.
  • If m1=a/bm_1 = a/bm1​=a/b, then m2=−b/am_2 = -b/am2​=−b/a.
  • One slope must be positive, and the other must be negative.
• Example:
  • Line 1: y=2/3x+1
  • Line 2: y=−3/2x-4
  • Since m1=2/3 m2=−3/2, the lines are perpendicular.