Parallel and Perpendicular Lines + HOY VUX

Perpendicular Lines: two lines that meet at 90 ^{∘ }angles.Their slopes have a product of -1. Parallel lines: two lines that never intersect. They have the same slopes, but different y int. Perpendicular Lines: two lines that meet at 90 ^{∘ }angles.Their slopes have a product of . Parallel lines: two lines that never intersect. They have the slopes, but different y int. Write an equation of the line that is perpendicular to y = 3x+ 6 and goes through the point ( 2, 10). First find the slope of the equation. m= 3. Since the line is perpendicualr, the slope of our new line will be . M = Write an equation of the line that is perpendicular to y = 3x+ 6 and goes through the point ( 2, 10). Watch your x, and y's! Now that we know the slope is -1/3, plug the slope and point into the point slope formula. (y - )= (x - ) Write an equation of the line that is perpendicular to y = 3x+ 6 and goes through the point ( 2, 10) in slope intercept form. Distribute the -1/3. y- 10 = -1/3 x + 2/3. Now add 10 to both sides. y= x + 10 y - 10 = -1/3(x-2) First find the slope of the equation. m= 3. Since the line is parallel, our new line will have the slope. Now using the point slope formula, plug in your slope and the point. Write an equation of the line that is parallel to y = 3x+ 6 and goes through the point ( 2, 10). (y - )= (x - ) Combine like terms to get: Now using the point slope form of y-10 = 3(x-2). Distribute the 3. Write an equation of the line that is parallel to y = 3x+ 6 and goes through the point ( 2, 10), in slope intercept form. y - y = = x + x - Write an equation of the line that is parallel to y = 5x+ 6 and goes through the point ( -1, 6), in slope intercept form. Combine like terms to get: y = x + Write an equation of the line that is perpendicular to y = 1/5 x+ 6 and goes through the point ( -1, 10), in slope intercept form. Fill in the m and b. y = x + Write an equation of the line that is perpendicular to y = -1/3 x+ 2 and goes through the point ( -12, 5), in slope intercept form. Fill in the m and b: y = x + Write an equation of the line that is parallel to y = 2 x- 8 and goes through the point ( -3, -6), in slope intercept form. Fill in the m and b: y = x - Write an equation of the line that is parallel to y = 2 x- 8 and goes through the point ( -3, -6), in standard form. Fill in the A, B and C: X + Y = Write an equation of the line that is perpendicular to y = 4 x+ 7 and goes through the point ( 8, 2), in slope intercept form. Fill in the m and b: y = x + Write an equation of the line that is perpendicular to y = 4 x+ 7 and goes through the point ( 8, 2), in standard form. Fill in the A, B and C: X + Y = Write an equation of the line that is parallel to y = -2/3 x+ 6 and goes through the point ( -3, 6), in slope intercept form. Fill in the m and b: y = x + Write an equation of the line that is parallel to y = -2/3 x+ 6 and goes through the point ( -3, 6), in standard form. Fill in the A, B and C: X + Y = Write an equation of the line that is perpendicular to y = 3/2 x -10 and goes through the point ( 0, 8), in slope intercept form. Fill in the m and b: y = x + Write an equation of the line that is perpendicular to y = 3/2 x -10 and goes through the point ( 0, 8), in standard form. Fill in the A, B and C: X + Y = HOY stands for... H: horizontal lines O: zero-slope Y: y = # (how to write the equation of a horizontal line) VUX stands for... V: vertical lines U: undefined slope X: x = # (how to write the equation of a vertical line) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Which acronym best describes the graphs of the following lines? y = -4 y = 2 y = 4 HOY VUX 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Which acronym best describes the graphs of the lines below? x = -8 x = -2 x = 5 HOY VUX 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Write the equation of the line. y= 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 What is the equation of the line? x = -4 x = 4 y = -4 y = 4 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Write the equation of the line. y= 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 What is the equation of the line? x = -4 x = 4 y = -4 y = 4 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Write the equation of the line: x = 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 What is the equation of the line? x = -4 x = 4 y = -4 y = 4 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Write the equation of the line: x = 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Write the equation of the line. y= |

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