Respuesta :
The fraction 1/4 will let Edna find the x-coordinate for point H.
How do we find the coordinates of a point on a line?
When the point is (x, y) and the two ends of the segment are (x1, y1) and (x2, y2), the following equation can be used:
x = x1 + [m / (m + n)] × (x2 - x1)
y = y2 + [m / (m + n) ] × (y2 - y1)
m:n is the ratio in which the point divides the line.
The fraction that can be used to find the coordinates of H is:
It is given that point H divides the line FG into two at the ratio of 1:3, where F and G are at (4, 9) and (7, 2) respectively.
Therefore, m = 1 and n = 3.
We can now use this to find the fraction. It is known that the formula for finding the fraction is m/m+n. Therefore, the fraction is:
m/m+n = 1/1+3
= 1/4
This is the fraction that can be used to find the coordinates of H. The fraction is 1/4.
Thus, we have found the fraction 1/4 will let Edna find the x-coordinate for point H. The correct answer is option A.
Learn more about finding the coordinates of a point on a line here: https://brainly.com/question/11190011
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