Question

If A= (-4, 3) and B = (8,-6),
(1) find the length of AB.
(i) in what ratio is the line segment joining AB, divided by the x-axis?​

Answer 1

Answer:

(i) Given points are A(−4,3) and B(8,−6).

Here x1=−4,y1=3

x2=8,y2=−6

By distance formula, d(AB)=[(x2−x1)2+(y2−y1)2]

∴d(AB)=[(8−(−4))2+(−6−3)2]

∴d(AB)=[(12)2+(−9)2]

∴d(AB)=(144+81)

∴d(AB)=225

∴d(AB)=15

Hence the length of AB is 15 units.

(ii)Let m:n be the ratio in which the line AB is divided by the X axis.

Since the line meets X axis, its y co-ordinate is zero.

∴ By Section formula y=(my2+ny1

Answer 2

Answer:

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Step-by-step explanation:

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