Question

What are the coordinates of the point that is 1/6 of the way from a(14 -1) to b(-4 23)

Answer 1

The coordinates of the point that is 1/6 of the way from a to b is thus (11, 3)

Explanation:

Let's look first at the x coordinates of the two given points: 14 and -4. From 14 to -4 is a decrease of 18. Similarly, from y = -1 to y = 23 is an increase of 24.

Starting at a(14, -1) and adding 1/6 of the change in x, which is -18, we get the new x-coordinate 14 + (1/6)(-18), or 14 - 3, or 11. Similarly, adding 1/6 of the increase in y of 24 yields -1 + 4, or 3.

The coordinates of the point that is 1/6 of the way from a to b is thus (11, 3)

Answer 2

9514 1404 393

Answer:

(11, 3)

Explanation:

That point is ...

P = a + (1/6)(b -a) = (5a +b)/6

P = (5(14, -1) +(-4, 23))/6 = (70-4, -5+23)/6 = (11, 3)

The point of interest is (11, 3).