Question

ASAP! For the line segment whose endpoints are A (0, 0) and B (4, 3), find the x coordinate for the point located 2 over 3 the distance from A to B.2.22.73.33.5

Answer 1

if P(xp,yp) divides a line segment from A(x1,y1) to B(x2,y2) in the ratio 2/3, then:

`\begin{gathered} xp=x1+(2)/(3)(x2-x1) \\ yp=y1+(2)/(3)(y2-y1) \end{gathered}`

Since we only need to find the x coordinate:

`\begin{gathered} (x1,y1)=(0,0) \\ (x2,y2)=(4,3) \\ xp=0+(2)/(3)(4-0) \\ xp=2.667 \\ x\approx2.7 \end{gathered}`