Question

The endpoints of PQ are at P (-4. -2) and Q (6,3). What are the coordinates of point S which divides PQ such that PS : SQ is equal to 3:2?(0,0)(1,0.5)(2.1)(3.5, 1.75) incorrect, this is 3 : 1 ratio

Answer 1

The endpoints of PQ are at P (-4. -2) and Q (6,3). What are the coordinates of point S which divides PQ such that PS : SQ is equal to 3:2?

(0,0)

(1,0.5)

(2.1)

step 1

Find the distance PQ in the x-coordinate

PQx=6-(-4)=10 units

PS/SQ=3/2

if the length is 10 units

so

PS/SQ=6/4

the x-coordinate of S is 6 units at right of P

Sx=-4+6=2

step 2

Find the distance PQ in the y-coordinate

PQy=3-(-2)=5

PS/SQ=3/2

so

the y-coordinate of S is 3 units up of point P

Sy=-2+3=1

therefore

point S(2,1)