Writing Equations of Parallel and Perpendicular Lines

Write the equation of the line that passes through (4, 2) and is parallel to y = 3x + 1 in point-slope form.

• y - 2 = 3(x - 4)

• y - 4 = 3(x - 2)

• y - 2 = 1/3(x - 4)

• y - 4 = 1/3(x - 2)

Tags

CCSS.HSG.GPE.B.5

Write the equation of the line that contains point (0, 5) and is parallel to 2x + 3y = 6 in slope-intercept form.

• y = -2/3x + 5

• y = 2/3x + 5

• y = -3/2x + 5

• y = 3/2x + 5

Tags

CCSS.HSG.GPE.B.5

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Write the equation of the line that passes through the origin and is parallel to y + 9 = - (x - 2) in standard form.

• x + y = 0

• x - y = 0

• y = -x + 2

• y = x - 2

Tags

CCSS.HSG.GPE.B.5

Write the equation of the line, in all three forms, that passes through point (-10, -3) and is parallel to

y + 1/4 = 1/4(x - 1).

• y + 3 = 1/4(x + 10),

  y = 1/4x - 1/2,

  -x - 4y = 2

• y - 3 = 1/4(x + 10),

  y = 1/4x + 1/2,

  x + 4y = 2

• y + 3 = 1/4(x - 10),

  y = 1/4x + 1/2,

  x - 4y = -2

• y - 3 = 1/4(x - 10),

  y = 1/4x - 1/2,

  x + 4y = -2

Tags

CCSS.HSG.GPE.B.5

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

What is the slope of the line parallel to y = 3x + 1?

• 3

• -3

• 1/3

• -1/3

Tags

CCSS.8.EE.B.5

Select the two lines that are perpendicular.

• None are perpendicular.

Tags

CCSS.8.EE.B.6

What is the y-intercept of the line y = -2/3x + 5?

• 5

• -5

• 2/3

• -2/3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of the following equations represents a vertical line?

• x = 1

• y = 1

• y = 3x + 1

• y = -2/3x + 5

Tags

CCSS.HSA.REI.D.10