LEQ: What are the relationships between parallel and perpendicular lines?

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Presentation transcript:

LEQ: What are the relationships between parallel and perpendicular lines?

Does the graph below suggest a positive, negative, or no relationship?

A) y = 2 x - 2 B ) y = 2 x + 1 C ) y = - ½ x + 2 ◦ What do you notice about lines A & B ? ____________________________ ◦ What do you notice about lines A & C and lines B & C ? _________________________

Conclusion: The slopes of parallel lines are ____________________________. The slope of perpendicular lines are ___________________________ which means that their product equals ________.

Ex 1) Complete the following chart : m of a line m of parallel line m of perpendicular line 3 0

Slopes of 0 or 1? -x…what is the parallel and perpendicular slope?

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

 Ex 3) Write the slope-intercept form of an equation for the line that passes through ( 3, -4 ) and is perpendicular to the line y = 3/2 x + 5.

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