Coordinate Plane Review D

The endpoints of directed line segment PQ have coordinates of P(-7, -5) and Q(5,3). What are the coordinates of point A, on PQ that divide PQ into a ratio 1:3?

• A(-1, -1)

• A(2, 1)

• A(3, 2)

• A(-4, -3)

• k = 2

• k = 4

What is an equation a circle whose center is at (2, -4) and has a radius of 4

• (x - 2)² + (y + 4)² = 4

• (x - 2)² + (y + 4)² = 16

• (x + 2)² + (y - 4)² = 4

• (x + 2)² + (y - 4)² = 16

• AB // A'B'

• AB = A'B'

The coordinates of endpoints of QS are Q(-9, 8) and S(9, -4). Point R is on QS such that QR:RS is in the ratio of 1:2. What are the coordinates of point R?

• (0, 2)

• (3, 0)

• (-3, 4)

• (-6, 6)

What are the coordinates of the center and the length of the radius of the circle whose equation is x² + y² = 8x - 6y + 39?

• center (-4,3) and radius 64

• center (4, -3) and radius 64

• center (-4, 3) and radius 8

• center (4, -3) and radius 8

Which is an equation of a line that is perpendicular to the line whose equation is 2y + 3x = 1?

• The slope is -1 and the y-intercept is -8

• The slope is -1 and the y-intercept is -2

After a dilation centered at the origin, the image of CD is C'D'. If the coordinates of the endpoints of these segments are C(6, -4), D(2, -8), C'(9, -6), and D'(3, -12), the scale factor of the dilation is

• 3

The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?