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Triss [41]
2 years ago
12

Point E is located at (2, −3), and point F is located at (−2, −1). Find the y-value for the point that is 3 over 4 the distance

from point E to point F. −2. 5 −2 −1 −1. 5.
Mathematics
1 answer:
12345 [234]2 years ago
6 0

The ratio of the two point is the coordinate at the plane where the two point are divided at the fixed amount of length. The<em> y</em> value of the point that is 3/4 distance from point E to point F is -1.5. thus the option 4 is the correct option.

Given information-

The coordinates of the point E is (2,-3).

the coordinates of the point F is (-2,-1).

As the 3/4 the distance from the point E is the point F is means the points which divides the line EF in the ratio of 3/1.

<h3>Ratio of two point</h3>

The ratio of the two point is the coordinate at the plane where the two point are divided at the fixed amount of length.

Suppose the ratio m:l are the ratio of the two points (x_1,y_1) and (x_2,y_2). Then the coordinate of the point which divide the line at this ratio can be given as,

(x,y)=\left ( \dfrac{mx_2+lx_1\tiems}{m+l} ,\dfrac{my_2+ly_1}{m+l}  \right )

Put the values,

(x,y)=\left ( \dfrac{3\times (-2)+1\times(2)}{3+1} ,\dfrac{3\times (-1)+1\times(-3)}{3+1}  \right )

(x,y)=(-1,-1.5)

Thus the<em> y</em> value of the point that is 3/4 distance from point E to point F is -1.5. thus the option 4 is the correct option.

Learn more about the ratio of the two points here;

brainly.com/question/7102971

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