Mastering Coordinate Geometry

What is the distance between the points (3, 4) and (7, 1)?

• √13

• √20

• √10

• 5

Calculate the midpoint of the segment connecting (2, 3) and (8, 7).

• (5, 5)

• (7, 5)

• (4, 4)

• (6, 6)

Determine the slope of the line that passes through the points (1, 2) and (4, 6).

• 3/4

• 4/3

• 1

• 2

What is the equation of the line in slope-intercept form with a slope of 2 and a y-intercept of -3?

• y = 2x + 3

• y = 2x - 3

• y = 3x - 2

• y = -2x - 3

If two lines have slopes of 3 and -1/3, are they parallel, perpendicular, or neither?

• intersecting

• neither

• perpendicular

• parallel

Find the distance between the points (-2, -1) and (4, 5).

• 7

• 6√2

• 5√2

• 8√2

Calculate the midpoint of the segment connecting (0, 0) and (10, 10).

• (10, 0)

• (5, 5)

• (5, 0)

• (0, 10)

Identify the slope of the line represented by the equation 4x - 2y = 8.

• 2

• 1

• -2

• 0

What is the equation of the line that is parallel to y = 3x + 2 and passes through the point (1, 1)?

• y = 3x + 1

• y = 2x + 1

• y = 3x - 2

• y = -3x + 2

Determine if the lines represented by the equations y = 1/2x + 4 and y = -2x + 1 are parallel, perpendicular, or neither.

• coincident

• intersecting

• parallel

• perpendicular