Question

What is the x-coordinate of the point that divides thedirected line segment from J to k into a ratio of 2:5?1Xmm+nJxX2 - X1) + x1-9-8-7-6-5-4-3-2-1,1 2 3 4 5 6 7 8 9 10 11 X2J(-6,-2)04-3-2-604-748-9-10-11-1213K(8.-9)

Answer 1

step 1

Find the distance in the x-coordinate segment JK

JKx=8-(-6)=14 units

we have that

JP/PK=2/5

apply proportion

2/(2+5)=x/14

x=4

the x coordinate of point P is 4 units at right of J

so

Px=-6+4=-2

the x-coordinate is -2