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Writing Parallel and Perpendicular Lines. Part 1. Parallel Lines // (symbol). All parallel lines have the same slope . Parallel lines will NEVER CROSS . Since Parallel lines don’t cross, we say they have NO solution .
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Parallel Lines // (symbol) • All parallel lines have the same slope. • Parallel lines will NEVER CROSS. • Since Parallel lines don’t cross, we say they have NO solution. • The slope of all vertical lines is undefined. (No Slope) • The slope of all horizontal lines is zero.
parallel line ---same slopes You try it!
1) Find line parallel to and goes through (-6, 4) Step 1 Find m From given eq. Step 2 Find b Plug in x,y, & m Step 3 Find equation Plug in m & b Same Slopes now go to next column
2) Find line parallel to and goes through (6, -2) Step 2 Find b Plug in x,y, & m Step 1 Find m— solve for y From given eq. Step 3 Find equation Plug in m & b Same Slopes now go to next column
Perpendicular Lines(symbol) Lines that form a 90° Angle. Perpendicular Lines have one solution written as an ordered pair. Perpendicular Lines’ slopes are NOTthe same(negative reciprocals). Do 2 things… FLIP the slope & CHANGE the SIGN
3) Find line perpendicular to and goes through (-6, 4) Step 1 Step 2 Step 3 Different Slopes FLIP the slope & CHANGE the SIGN now go to next column
4) Find line perpendicular to and goes through (4, 7) Step 2 Step 3 Step 1 Different Slopes FLIP the slope & CHANGE the SIGN now go to next column