What is the coordinate 3/5 of the way from A to B if the coordinates are A(1 ,0) and B(11, 3). Use the x-coordinate for your answer.

Answer 1

To find the coordinate 3/5 of the way from A to B, you can use the formula for the point P that divides the segment AB in the ratio m : n:

Here, m = 3, n = 2 because 3/5 of the way corresponds to a ratio of 3 : 2. We know A_x = 1 and B_x = 11.

After substituting the values we know into the P_x equation, we find that:

P_x = 7

A simpler way to think about this is to find the horizontal (x) distance between the points and then add 3/5 of this distance to the x-coordinate of the starting point. The horizontal distance between A and B is:

11 - 1 = 10

3/5 of 10 = 6, so add 6 to the x-coordinate of A to find the x-coordinate of the point that is 3/5 of the way between A and B:

1 + 6 = 7

Hope this was helpful.

Answer 2

To find the coordinate 3/5 of the way from point A(1, 0) to point B(11, 3), use the formula for a point P that lies fraction t of the way from A(x1, y1) to B(x2, y2):

P = (x1 + t*(x2 - x1), y1 + t*(y2 - y1))

Plugging in the values A(1, 0) and B(11, 3) with t = 3/5:

For the x-coordinate of P:

x = 1 + (3/5)*(11 - 1) = 1 + 6 = 7

Thus, the x-coordinate 3/5 of the way from A to B is 7.