Question

On a coordinate plane, a line is drawn from point j to point k. point j is at (negative 15, negative 5) and point k is at (25, 15). what are the x- and y- coordinates of point e, which partitions the directed line segment from j to k into a ratio of 1:4? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (–13, –3) (–7, –1) (–5, 0) (17, 11)

Answer 1

The required x- and y- coordinates of point e, which partitions the directed line segment is (17, 11)

Midpoint of coordinates

The middle point of two coordinates is known as its midpoint. The formula for calculating the midpoint of a coordinate is expressed as:

$m(x,y)=(\frac{mx_1+nx_2}{m+n}, \frac{my_1+ny_2}{m+n})$

Given the coordinate points J(-15, -5) and k(25, 15) partitioned in the ratio 1:4, the x- and y- coordinates of point e, which partitions the directed line segment is given as:

$m(x,y)=(\frac{1(-15)+4(25)}{1+4}, \frac{1(-5)+4(15)}{1+4})\\m(x,y)=(\frac{85}{5}, \frac{55}{5} )\\m(x, y) = (17,11)$

Hence the required x- and y- coordinates of point e, which partitions the directed line segment is (17, 11)

Learn more on midpoint here: brainly.com/question/5566419

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