Question

What are the coordinates of the point that is 1/5 of the way from A(-7,-4) to B(3, 6)?

Answer 1

Answer:

coordinate will be

r = (1.33,4.33)

Explanation:

As we know that if a point will divide two given coordinates in m : n ratio

then in that case the point is given as

$x = \frac{mx_1 + nx_2}{m+n}$

$y = \frac{my_1 + ny_2}{m+n}$

here we know that two points are

(-7, -4) and (3, 6)

and the ratio is given as 1 : 5

now from above formula we will have

$x = \frac{1(-7) + 5(3)}{1 + 5} = 1.33$

$y = \frac{1(-4) + 5(6)}{1 + 5} = 4.33$

so coordinate will be

$r = (1.33, 4.33)$