Answer :
The x-coordinate of the point that divides the directed line segment from K to J into a ratio of 1:3 is 7
Step-by-step explanation:
The formula for x-cooridnate of a point that divides a line in ratio m:n is given by:
[tex]x = \frac{nx_1+mx_2}{m+n}[/tex]
Given
K(9,2) = (x1,y1)
J(1,-10) = (x2,y2)
m = 1
n = 3
Putting the values in the formula
[tex]x = \frac{(3)(9)+(1)(1)}{1+3}\\x = \frac{27+1}{4}\\x = \frac{28}{4}\\x = 7[/tex]
Hence,
The x-coordinate of the point that divides the directed line segment from K to J into a ratio of 1:3 is 7
Keywords: Ratio, fraction
Learn more about ratios at:
- brainly.com/question/7297385
- brainly.com/question/729447
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