Question

find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 4 with a(-5,4) and b(7,-4)

Answer 1

Answer:

$p(x,y) = (-2.6 ,2.4)$

Step-by-step explanation:

Given

a(-5,4) and b(7,-4)

Required

Partition P

Given that the segment ab is divided into ratio;

The coordinates of point p can be calculated using ratio formula given below

$p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})$

Where m and n are the ratio; m = 1 and n = 4

$(x_1, y_1) = (-5,4); \\(x_2, y_2) = (7,-4)$

So,

$p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})$ becomes

$p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})$

$p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})$

$p(x,y) = (\frac{-13}{5} ,\frac{12}{5})$

$p(x,y) = (-2.6 ,2.4)$

Hence, the coordinates of p are (-2.6,2.4)