Writing Equations of Parallel and Perpendicular Lines

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Multiple Choice

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

• 
  

  $$y=-6x\ -4$$

• $$y=-6x+2$$

• $$y=-6x-2$$

• $$y=-6x+4$$

Multiple Choice

What is the equation of a line that passes through (4,-1) and is parallel to

$$y=\frac{1}{4}x+7$$  ?

• $$y=\frac{1}{4}x$$  

• $$y=\frac{1}{4}x-2$$  

• $$y=\frac{1}{4}x-1$$  

• $$y=\frac{1}{4\ }x+1$$  

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Drag and Drop

Write the equation of the line, in slope-intercept form that is parallel to the equation 2x-3y=12 and passes though (9, 4)



y = ​

Placeholder

x​

Placeholder

​

Placeholder

Drag these tiles and drop them in the correct blank above

2/3

-

2

-2/3

+

10

3/2

-3/2

4

9

Multiple Choice

Write the equation of the line, in slope-intercept form, that is parallel to the graph, and passes through the point (1, -4).

• y = -2x + 2

• y = -1/2x - 2

• y = -2x - 2

• y = 1/2x + 2

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(video is split into 2 slides)

Multiple Choice

Given the line $$y=\frac{2}{3}x-3$$   Write the equation of a line perpendicular to it that passes through the point (4, -1)

• $$y=-\frac{3}{2}x-7$$  

• $$y=\frac{2}{3}x+4$$  

• $$y=\frac{2}{3}x-1$$  

• $$y=-\frac{3}{2}x+5$$  

Multiple Choice

Write the equation of a line PERPENDICULAR to $$y=\frac{1}{3}x-9$$  and passes through the point (-6, 10).

• $$y=\frac{1}{3}x-9$$

• $$y=\frac{1}{3}x+10$$

• $$y=-3x+6$$

• $$y=-3x-8$$

Multiple Choice

What is the slope of the line that contains point (-2,2) and is perpendicular to x - 2y = 5 in standard form?

• -2

• 2

• 1/2

• -1/2

Multiple Choice

Write the equation of the line, in slope-intercept form, that is perpendicular to the graph, and passes through the point (6, 1).

• y = -2x + 2

• y = -1/2x - 2

• y = -2x - 2

• y = 1/2x + 2