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The coordinates of the point 3/10 of the way from A to B are

The coordinates of the point 3/10 of the way from A to B are-example-1
User Bay
by
6.9k points

1 Answer

5 votes

Answer:

(0, -
(32)/(13))

Explanation:

If a point (x, y) that divides a line segment having extreme ends
(x_1,y_1) and
(x_2,y_2) into the ratio of m : n,

x =
(mx_2+nx_1)/(m+n)

and y =
(my_2+ny_1)/(m+n)

From the picture attached,

Extreme ends of a segment are A(-3, -5) and B(10, 6).

Let a point (x, y) divides this segment divides this segment in the ratio of 3 : 10,

x =
(3* 10+10* (-3))/(3+10)

= 0

y =
(3(6)+10(-5))/(3+10)

=
(18-50)/(13)

=
-(32)/(13)

Therefore,
(0,-(32)/(13)) is a point which divides AB in the ratio of 3 : 10.

User Craig Wilcox
by
7.9k points