Distance in the Coordinate Plane

A line passes through the points (1, 4) and (5, 8). A second line passes through the points (2, 10) and (6, 4). At what point do the two lines intersect?

• (2, 10)

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16

Find the distance between the following points:

(1,4) & (4,0)

• 10

• 5

• 25

• 30

A line segment that is 13 units long has an endpoint at (1, 10). The other endpoint is in quadrant 3 with an endpoint at (-4, y). What is the value of y?

A line segment that is 5 units long has an endpoint at (2, 2). The other endpoint is in quadrant 3 with an endpoint at (-2, y). What is the value of y?

A line segment that is 10 units long has an endpoint at (2, 2). The other endpoint is in quadrant 2 with an endpoint at (-6, y). What is the value of y?

A line segment that is 15 units long has an endpoint at (2, 2). The other endpoint is in quadrant 2 with an endpoint at (-7, y). What is the value of y?