Parallel and Perpendicular Lines

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Presentation transcript:

Parallel and Perpendicular Lines Team Trivia Parallel and Perpendicular Lines

How to play

Round 1, Question 1 Write the slope of a line that is parallel to the following. 𝒎= 𝟏 𝟒

perpendicular Round 1, Question 2 State whether the graphs of the following equations are parallel, perpendicular, or oblique. perpendicular

Round 1, Question 3 Find an equation of the line that passes through each given point and is parallel to the line with the given equation. (5 , 7); 𝒚= 𝟐 𝟓 𝒙−𝟒 𝒚= 𝟐 𝟓 𝒙+𝟓

oblique Round 2, question 1 State whether the graphs of the following equations are parallel, perpendicular, or oblique. oblique

Round 2, question 2 Find an equation of the line that passes through each given point and is parallel to the line with the given equation. (2 , 0);𝒚=−𝟒𝒙+𝟏𝟖 𝒚=−𝟒𝒙+𝟖

Round 2, question 3 Write the slope of a line that is perpendicular to the following. 𝒎=−𝟒

BONUS Write up to 5 equations (no more) of linear lines that are parallel to the following line. 𝒚=𝟒𝒙−𝟏𝟐 You lose no points for wrong answers. Express equations in slope-intercept form. 1 point for each correct solution. (5 max)

Round 3, question 1 Find an equation of the line that passes through each given point and is perpendicular to the line with the given equation. (6 , 4); 𝟐𝒙+𝒚=𝟏 𝒚= 𝟏 𝟐 𝒙+𝟏

Round 3, question 2 Find the value of “a” for which the graph of the first equation is perpendicular to the graph of the second equation.

Round 3, question 3 Find an equation of the line that passes through each given point and is perpendicular to the line with the given equation. (-4, 5); 𝒚=− 𝟒 𝟑 𝒙+𝟏𝟏 𝒚= 𝟑 𝟒 𝒙+𝟖

Final 1st: Write the equation of both lines shown to the right. 2nd: Using the equations you wrote in the 1st step, state and explain why the lines are parallel, perpendicular, or oblique.