Understanding Ratios and Coordinates

The video tutorial explains how to find the coordinates of point B on line segment AC, given that the ratio of AB to AC is 3:5. It starts by plotting points A and C on a graph, then calculates the x and y coordinates of point B using the given ratio. The tutorial also demonstrates an algebraic method to verify the coordinates of point B, ensuring a comprehensive understanding of the problem-solving process.

What are the coordinates of point A?

• (-1, 4)

• (4, -6)

• (1, -4)

• (0, 0)

What is the ratio of AB to AC?

• 3:5

• 5:3

• 2:1

• 1:2

How far along the x-direction is point B from point A?

• 4 units

• 5 units

• 2 units

• 3 units

What is the change in x from point A to point C?

• 5 units

• 3 units

• 6 units

• 4 units

How far along the y-direction is point B from point A?

• 6 units

• 3 units

• 5 units

• 10 units

What is the change in y from point A to point C?

• 6 units

• 10 units

• 8 units

• 12 units

What is the x-coordinate of point B?

• 2

• 3

• 4

• 1

What is the y-coordinate of point B?

• -2

• -3

• -4

• -1

How do you calculate the x-coordinate of point B algebraically?

• Start with C's x-coordinate and add 3/5 of the x-distance

• Start with A's x-coordinate and subtract 3/5 of the x-distance

• Start with C's x-coordinate and subtract 3/5 of the x-distance

• Start with A's x-coordinate and add 3/5 of the x-distance

How do you calculate the y-coordinate of point B algebraically?

• Start with A's y-coordinate and subtract 3/5 of the y-distance

• Start with A's y-coordinate and add 3/5 of the y-distance

• Start with C's y-coordinate and add 3/5 of the y-distance

• Start with C's y-coordinate and subtract 3/5 of the y-distance