Question

The endpoints of RS are R(-5,3) and S(3,19). Complete each statement using a fraction.
of the way from R to S.
a. (1,15) is the point
b. (-3,7) is the point
of the way from R to S.
-
a. (1,15) is the point of the way from R to S.
implified fraction)
...

Answer 1

a) The point (1, 15) is at 3 / 4 of the way from points R to S.

b) The point (- 3, 7) is at 1 / 4 of the way from points R to S.

What are the line segment ratio associated with a given point of the line segment?

In this problem we must determine the line segment ratio associated to a given point within a line segment, this can be found by using the line segment formula:

Q(x, y) = R(x, y) + k · [S(x, y) - R(x, y)]

Q(x, y) = (- 5, 3) + k · [(3, 19) - (- 5, 3)]

Q(x, y) = (- 5, 3) + k · (8, 16)

Q(x, y) = (- 5 + 8 · k, 3 + 16 · k)

Now we proceed to find each ratio:

Q(x, y) = (1, 15)

(1, 15) = (- 5 + 8 · k, 3 + 16 · k)

k = 3 / 4

The point (1, 15) is at 3 / 4 of the way from points R to S.

Q(x, y) = (- 3, 7)

(- 3, 7) = (- 5 + 8 · k, 3 + 16 · k)

k = 1 / 4

The point (- 3, 7) is at 1 / 4 of the way from points R to S.

To learn more on line segments: https://brainly.com/question/25727583

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