Understanding Collinear Points and Ratios

The video tutorial explains how to find the coordinates of point C given that points A, B, and C are collinear, with B between A and C. The ratio of AB to AC is 2 to 5. The tutorial walks through visualizing the points, calculating the horizontal and vertical changes, and applying the given ratio to find the coordinates of point C.

What is the ratio of the segments AB to AC as given in the problem?

• 1 to 3

• 2 to 5

• 5 to 2

• 3 to 4

Where is point A located on the coordinate plane?

• (4, -6)

• (-2, 3)

• (0, 0)

• (-6, 9)

What is the horizontal change in coordinates from A to B?

• 8

• 4

• 2

• 6

What is the x-coordinate of point C after calculating the horizontal change?

• 4

• 0

• -2

• 6

What is the vertical change in coordinates from A to B?

• -4

• -10

• -6

• -8

What is the y-coordinate of point C after calculating the vertical change?

• -6

• -9

• 0

• 3

What is the final x-coordinate of point C?

• -6

• 10

• 0

• 4

What is the final y-coordinate of point C?

• 3

• 9

• -6

• -15

What is the final coordinate of point C?

• (0, 0)

• (4, -6)

• (-6, 9)

• (-2, 3)

What is the significance of the ratio 2 to 5 in this problem?

• It represents the distance from B to C.

• It represents the ratio of the entire line segment AB to AC.

• It represents the distance from A to B.

• It represents the ratio of the entire line segment AC to AB.