Answer:
(-2/17, 5/17)
Explanation:
Given the coordinates A (-3,-5) to B (9,4), we are to find the coordinate of the point cutting the line using the ratio 7:10
Using the midpoint formula;
M(X,Y) = {(ax1+bx2/a+b, (ay1+by2/a+b))
Given
x1 = -3, y1 = -5, x2 = 9, y2 = 4, a = 7 and b = 10
get the required coordinates;
X = ax1+bx2/a+b
X = 7(-3)+10(9)/7+10
X = -21+19/17
X = -2/17
Get the Y coordinate;
Y = ay1+by2/a+b
Y = 7(-5)+10(4)/7+10
Y = -35+40/17
Y = 5/17
Hence the required coordinate is (-2/17, 5/17)