On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 6, negative 2) and point K is at point (8, negative 9). What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 –4 –2 2 4

Line segments can be divided into equal or unequal ratios

The x coordinate of the segment is -2

The coordinates of points J and K are given as:

The ratio is given as:

The x-coordinate is then calculated using:

So, we have:

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Subtract 6 from 4

Hence, the x coordinate of the segment is -2

Read more about line ratios at:.

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-2

Step-by-step explanation:

The coordinate of a point that divides a line AB in a ratio a:b from A() to B() is given by the formula:

Given that a line JK, with  Point J is at ( -6, - 2) and point K is at point (8, - 9) into a ratio of 2:5. The x coordinate is given as: