Question

The point N is on AG. N is located the distance from A(-10, 6) to G(2, -9). What is the y-coordinate of N?

Answer: __ (Round your answer to the nearest hundredth)

Answer 1

To find the y-coordinate of point N on AG, you need to calculate the distance between points A and G using the distance formula. Then, subtract the y-coordinate of point A from the y-coordinate of point G to find the y-coordinate of point N.

Step-by-step explanation:

To find the y-coordinate of point N on AG, we first need to find the distance between points A(-10, 6) and G(2, -9). We can use the distance formula which is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values, we get:

d = sqrt((2 - (-10))^2 + (-9 - 6)^2)

d = sqrt(12^2 + (-15)^2)

d = sqrt(144 + 225)

d = sqrt(369)

d ≈ 19.21

Now that we have the distance, we can find the y-coordinate of point N by subtracting the y-coordinate of point A from the y-coordinate of point G:

y-coordinate of N = y-coordinate of G - y-coordinate of A

y-coordinate of N = -9 - 6

y-coordinate of N = -15