Final answer:
To find the coordinates of point X that divides line segment QR in the ratio 2:3, you can use the section formula.
Step-by-step explanation:
To find the coordinates of point X that divides line segment QR in the ratio 2:3, we can use the section formula. The section formula states that the coordinates of X, denoted as (x, y), can be found using the formula x = (2x2 + 3x1)/5 and y = (2y2 + 3y1)/5, where (x1, y1) and (x2, y2) are the coordinates of points Q and R respectively.
Using the given coordinates of Q(-10, 7) and R(1, -4), we can substitute them into the formula and calculate the values of x and y.
Calculating x: x = (2*1 + 3*(-10))/5 = -1
Calculating y: y = (2*(-4) + 3*7)/5 = 3.2
Therefore, the coordinates of point X that divides QR in the ratio 2:3 are (-1, 3.2).