Find the coordinates of the point 7/10 of the way from A (-3,-5) to B (9.4)

(-2/17, 5/17)

Step-by-step 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)

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