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Parallel and Perpendicular Lines. Write the equation of a line that passes through a given point, parallel to a given line. Write the equation of a line that passes through a given point, perpendicular to a given line. Parallel lines.

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parallel and perpendicular lines

Parallel and Perpendicular Lines

Write the equation of a line that passes through a given point, parallel to a given line.

Write the equation of a line that passes through a given point, perpendicular to a given line.

parallel lines
Parallel lines

Lines in the same plane that do not intersect are called parallel lines. Parallel lines have the same slope.

perpendicular lines
Perpendicular Lines

Lines that intersect at right angles are called perpendicular lines. The slopes of these lines are opposite reciprocals.

Opposite reciprocals????

3…..

from the given equations determine if the corresponding lines are parallel perpendicular or neither
From the given equations, determine if the corresponding lines are parallel, perpendicular, or neither.

y = 2x + 2

y = 4x - 2

neither

2x + 6y = 1

4x + 12y =3

parallel

perpendicular

slide5
Write the slope intercept form of an equation for the line that passes through (12,3), and is parallel to the graph of
slide6
Write the slope intercept form of an equation for the line that passes through (1, -3), and is perpendicular to the graph of
slide7
Write the slope intercept form of an equation for the line that passes through (-6, 5), and is perpendicular to the graph of x - y= 5