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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

Sagot :

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

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

Since we only need to find the x coordinate:

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

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