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Parallel & Perpendicular Lines

Parallel

What is a parallel line?

Lines on the same plane that never intercept

Parallel

SAME SLOPE

Parallel Lines

How do you find the slope of a parallel line?

Equation of a line that is parallel to y=2x-2 and passes through points (1,10)

Parallel Lines

ANS: y=2x+8

Parallel Lines (cont.)

How do you find the slope of a parallel line?

Equation of a line that is parallel to the line 2x-4y=8 and passes through (3,0)

Parallel Lines

ANS: y=1/2x-3/2

Parallel Lines

How to find the equation of a parallel line.

1. Plug in points:

10=2(1)+b

2. Solve:

10=2+b

10-2=b

8=b

Parallel Lines

1. Find the slope of the equation:

y=2/4x-8/4

2.Simplify:

y=1/2x-2

3. Plug in points and solve:

0=1/2x(3)+b

0=3/2+b

-3/2=b

Perpendicular

What is a perpendicular line?

Two lines that intercept to form a right angle

Perpendicular

NEGATIVE RECIPROCAL SLOPE

Perpendicular Lines

How do you find the equation of a perpendicular line?

Perpendicular Lines

Equation of a line that is perpendicular to y=3/2x+4 and passes through (3,10)

ANS: y=-2/3x+12

Perpendicular Lines

How to find the equation of a perpendicular line.

Find the opposite reciprocal of the slop:

3/2 to -2/3

Plug points in and solve:

10=-2/3(3)+b

10=-2+b

12=b

Perpendicular Lines

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