Parallel and Perpendicular Lines

What is the equation of a line parallel to y = 2x + 3 and passing through the point (4, -1)?

• y = 2x - 9

• y = 4x - 1

• y = -2x + 3

• y = 2x + 9

Find the equation of a line perpendicular to y = -3x + 2 and passing through the point (-2, 5).

• y = 1/3x + 11/3

• y = 3x + 2

• y = -1/3x + 11/3

• y = -3x + 5

Determine if the lines with equations y = 4x - 2 and y = -2x + 6 are parallel, perpendicular, or neither.

• both

• parallel

• perpendicular

• neither

What is the slope-intercept form of a line with a slope of -5 and passing through the point (2, 7)?

• y = -5x + 7

• y = 5x + 17

• y = -5x + 17

• y = -5x - 17

Find the equation of a line parallel to y = 3x + 1 and passing through the point (-3, 4).

• y = 3x + 13

• y = 3x + 7

• y = 3x + 5

• y = 3x - 1

Determine if the lines with equations y = 2x + 5 and y = -2x - 5 are parallel, perpendicular, or neither.

• neither

• parallel

• perpendicular

• both

What is the equation of a line perpendicular to y = -2x + 3 and passing through the point (1, -4)?

• y = -2x - 1

• y = 2x + 3

• y = 1/2x - 9/2

• y = -2x + 1

Find the equation of a line parallel to y = 4x - 2 and passing through the point (3, 1).

• y = 4x - 11

• y = -4x - 11

• y = 4x + 11

• y = -4x + 11

Determine if the lines with equations y = 3x + 2 and y = 3x - 4 are parallel, perpendicular, or neither.

• parallel

• curved

• intersecting

• perpendicular

What is the point-slope form of a line with a slope of 2/3 and passing through the point (-1, 5)?

• y - 5 = (2/3)(x + 1)

• y + 5 = (2/3)(x + 1)

• y - 5 = (3/2)(x + 1)

• y - 5 = (2/3)(x - 1)