4.4 Parallel and Perpendicular Lines

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Presentation transcript:

4.4 Parallel and Perpendicular Lines Objective:Write an equation of the line that passes through a given point parallel or perpendicular to a given line

What do we Already Know? Write Equations in Slope-Intercept Form Write Equations in Point-Slope Form Find the Slope of a Line

What we will Know? How to write an equation of a line that passes through a given point parallel or perpendicular to a given line.

PARALLEL LINES Do not intersect in the same plane Have the same slope

Write an equation in slope-intercept form for the line that passes through (-3,5) and is parallel to the graph of y=2x-4

Write an equation in slope-intercept form for the line that passes through (4,-1) and is parallel to the graph of y=(1/4)x+7

Write an equation in slope-intercept form for the line that passes through (0,3) and is parallel to the graph of y= -4x+5

Perpendicular Lines Lines that intersect and form right angles Slopes are opposite reciprocals Ex. m= 4 then the slope of the line that is perpendicular to m= 4 is –1 4

Write an equation in slope-intercept form for the line that passes through (-4,6) and is perpendicular to the graph of 2x+3y=12

Write an equation in slope-intercept form for the line that passes through (4,7) and is perpendicular to the graph of y=2x-1 3

Write an equation in slope-intercept form for the line that passes through (2,3) and is perpendicular to 2x+3y=4

Journal Page 242 #45 Is a horizontal line perpendicular to a vertical line sometimes, always, or never? Explain your reasoning

Determine by graphing whether y=5, x=3 and y=-2x+1 are parallel or perpendicular

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