# Parallel and Perpendicular Lines Parallel Line Perpendicular line

• Slides: 25

Parallel and Perpendicular Lines Parallel Line Perpendicular line

Parallel and Perpendicular Lines Parallel Line Perpendicular line

Parallel and Perpendicular Lines Two lines that are straight and never cross m= 3 2 Both lines has the same slopes But has different y-intercepts m= 3 2 Parallel Line y= mx + b

Parallel and Perpendicular Lines Two lines that are straight and never cross m= 3 2 Both lines has the same slopes But has different y-intercepts m= 3 2 Parallel Line y= mx + b

Parallel and Perpendicular Lines 1: Write the equation of the line that passes through ( and is parallel to y = 2/3 x+2 b= 2 m 2 = 3 y = mx + b (0 , 2) m = Rise Run 3, -6) . .

Parallel and Perpendicular Lines 1: Write the equation of the line that passes through (3, 6) and is parallel to y = 2/3 x+2 b= 2 m 2 = 3 y = mx + b (0 , 1) m = Rise Run . .

Parallel and Perpendicular Lines 1: Write the equation of the line that passes through (3 and is parallel to y = 2/3 x+2. m 2 = 3 y 2 = mx + b 2 y 2 = x + b -1 = 3 2 3 (3) + b -1 = 2 + b -2 -2 ____________ -3 = b 2 y 2 = 3 x+b x-3 . . , -1)

Parallel and Perpendicular Lines Perpendicular lines have negative reciprocal slope Simply find the Slope of the given line, take its reciprocal (flip it over) and make it negative Perpendicular line

Parallel and Perpendicular Lines Perpendicular lines have negative reciprocal slope Simply find the Slope of the given line, take its reciprocal (flip it over) and make it negative Perpendicular line

Parallel and Perpendicular Lines 2. Write the equation of the line that passes through (6, -5) and is perpendicular to y = 2 x+3 b=3 m= 2 y = mx + b (0 , 3) Rise = 2 m = Run 1 Do the Reciprocal (flip it over) and make it negative -1 m 2 = 2 . .

Parallel and Perpendicular Lines 2. Write the equation of the line that passes through (6, -5) and is perpendicular to y = 2 x+3 y = mx + b b=3 m= 2 (0 , 3) Rise = 2 m = Run 1 Do the Reeciprocal negative -1 m 2 = 2 (flip it over) and make it

Parallel and Perpendicular Lines 2. Write the equation of the line that passes through (6, -5) and is perpendicular to y = 2 x+3. -1 m 2 = 2

Parallel and Perpendicular Lines 2. Write the equation of the line that passes through (6, -5) and is perpendicular to y = 2 x+3. y 2 = mx + b y = -1 x + b 2 -5= -1 (6) + b 2 -5 = -3 +3 +3 _____________ -2 = b y 2 = -1 x + b 2 -1 x 2 2 . .