Coordinate Geometry Review

What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)?

• y + 4 = - (1/2)(x – 8)

• x + 4 = 2(y – 8)

• y + 4 = 2(x – 8)

• y + 8 = - (1/2)(x – 4)

Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?

• y = 3/2x - 6
• y = 2/3x + 3
• y = -2/3x - 2
• y = -2/3x + 2

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

• y = -1/3x - 5

• y = 3x-29

• y = 1/3x -5

• y = -1/3x +1

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

• y = 4x + 12

• y = -4x -4

• y = -1/4x + 5/2

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16

Find the distance.

• 9.7
• 10.7
• 11.7
• 12.7

Solve the system of Equation (x,y)

x + 4y = –3

x + 7y = –12

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9

• (-5,1)
• (5,-1)
• (1,4)
• (-1,4)

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3
• x = 3
• x = 1
• x = 2

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

The coordinates of the point P are:

• (1,5)

• (0,4)

• (3, 1)

• (-1, 1)