Distance and Midpoint Formula

What is the distance between the points (-2, 3) and (4, 0)?

• $3\sqrt{5}$

• $3\sqrt{2}$

• $3\sqrt{3}$

• $6$

What is the shortest distance between (-5, 6) and the line 3x - 4y = 1?

• 5 units

• 6 units

• 7 units

• 8 units

The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. John’s seat is located at the point (5, 4) and Peter’s seat is located at (-2, -3).
How far is it from John’s seat to Peter’s seat?

• 8 units

• 7 units

•  $7\sqrt{2}units$  

•  $8\sqrt{2}units$  

Find the length of the segment AB shown.

• $8\ units$

• 11 units

• $5\sqrt{5}units$

• $6\sqrt{2}units$

• 12 units

Find the shortest distance from the point (-5, 7) to the line x = 7.

• 10 units

• 11 units

• 12 units

• 13 units

What is the shortest distance between two parallel lines 4x + y =8 and 4x + y = -9?

• $\sqrt{17}units$

• $\sqrt{19}units$

• $17\sqrt{17}units$

• 17 units

If the endpoints of the diameter of a circle are (-4, 6) and (4, -8), then what are the coordinates of the center of the circle?

• (0, -2)

• (0, -1)

• (-1, 0)

• (-4, 7)

If M (3, -4) is the midpoint of the line segment joining A(-6, 5) and B(x, y). Find the coordinates of B.

• (3, 9)

• (12, 8)

• (12, -13)

• (12, 13)

What are the coordinates of the point halfway from (4, 4) to (8, -4)?

• (6, -4)

• (0, 6)

• (12, 0)

• (6, 0)

Three vertices of a parallelogram MATH are M(-3, 1), A(4, 9), and T(11, -3). Find the coordinates of vertex H.

• (3, 11)

• (-3, 11)

• (3, -11)

• (-11, 3)