Equations of Parallel & Perpendicular Lines (Grade 9)

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Equations of Parallel & Perpendicular Lines

1. 
Write the equation of the line in Slope-Intercept Form passing through the point (-5, -2) and perpendicular to [math]-5x - 2y = 27.[/math]
  1. [math]y = 5/2x + 21/2[/math]
  2. [math]y = 2/5x[/math]
  3. [math]y = -5/2x - 29/2[/math]
  4. [math]y - -2/5x - 4[/math]
2. 
Write the equation of the line perpendicular to [math]-4y-3x=12 [/math] through (12, 5).
  1. [math]y=4/3 x-11 [/math]
  2. [math]y=-4/3 x+16[/math]
  3. [math]y=-3/4 x-3 [/math]
  4. [math]y=-3/4 x+9 [/math]
3. 
Write an equation in slope-intercept form for the line that passes through (-2,3) and is parallel to the line with equation 3x + 2y = 6.
  1. [math]y=- 3/8 x -9/14[/math]
  2. [math]y=-3/2 x[/math]
  3. [math]y=- 2/3 x +3[/math]
  4. [math]y=3x+9 [/math]
4. 
Write an equation in slope-intercept form that is parallel to the equation y = -2x + 3 and passes through the point (4,2).
  1. [math]y = -2x + 2[/math]
  2. [math]y = 1/2 x + 2[/math]
  3. [math] y = -2x + 10 [/math]
  4. [math]y = 1/2x[/math]
5. 
Choose the equation of a line passing through (3, 1) that is perpendicular to [math]y=(-1/2)x-(1/4)[/math].
  1. [math]y=2x-5[/math]
  2. [math]y=3x-1[/math]
  3. [math]y=(1/2)x-6[/math]
  4. [math]y=(1/2)x+(1/2)[/math]
6. 
Write the equation of the line in Slope-Intercept Form passing through the point (-6, 7) and parallel to [math]3x + 7y = 3.[/math]
  1. [math]y = 3/7x - 31/7[/math]
  2. [math]y = -7/3x + 7/3[/math]
  3. [math]y = -3/7x + 31/7[/math]
  4. [math]y = 3/7x + 3/7[/math]
7. 
Write an equation in slope-intercept form that is perpendicular to the equation y = -2x + 3 and passes through the point (4,2).
  1. [math] y = -2x + 2 [/math]
  2. [math]y = 1/2 x + 2[/math]
  3. [math] y = -2x + 10 [/math]
  4. [math]y = 1/2x[/math]
8. 
Write the equation of a line parallel to [math]y=2/5 x-3[/math] that goes through the point (1,-1).
  1. [math]y=5/2x-3[/math]
  2. [math]y=2/5x-7/5[/math]
  3. [math]y=-5/2x-7/5[/math]
  4. [math]y=-5/2x+3/2[/math]
9. 
Write an equation in slope-intercept form for a line containing (3,2) and perpendicular to the line with equation y = -2x + 6.
  1. [math]y = 1/2x - 2[/math]
  2. [math]y = 3x +3[/math]
  3. [math]y = 1/2x + 1/2[/math]
  4. [math]y = -2x + 2[/math]
10. 
Write an equation in slope-intercept form for a line containing (3,2) and perpendicular to the line with equation y = -2x + 6.
  1. [math]y = 1/2x − 2[/math]
  2. [math]y = 3x + 3[/math]
  3. [math]y = 1/2x + 1/2[/math]
  4. [math]y = − 2x + 2[/math]

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