Question

Given EF with E(-7, 4) and F(-4,-5), if G lies

on EF such that the ratio of EG to GF is 1:2,
find the coordinates of G.

Answer 1

To find the coordinates of point G on the line EF, which has a given ratio of EG to GF, we can use the section formula.

Step-by-step explanation:

To find the coordinates of point G, we can use the concept of the section formula. Let's assume the coordinates of G are (x, y). The given ratio of EG to GF is 1:2, which means that EG is one-third of EF and GF is two-thirds of EF. We can use the formula:

x = (x1 + 1/3 * x2) / 2, and y = (y1 + 1/3 * y2) / 2,

where (x1, y1) = (-7, 4) and (x2, y2) = (-4, -5). Plugging in these values, we can calculate the coordinates of G to be (-5, -1).