Share

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

Question

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

in progress
0

Mathematics
2 months
2021-07-29T02:35:12+00:00
2021-07-29T02:35:12+00:00 2 Answers
2 views
0
## Answers ( )

9514 1404 393

Answer:(11, 3)

Step-by-step 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).Answer:The coordinates of the point that is 1/6 of the way from a to b is thus (11, 3)Step-by-step 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)