Question

The coordinates of A and B are (3k, 8) and (k, -3) respectively. Given that the gradient of the line segment AB is 3, find the value of k.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Using the section formula, if a point (x,y) divides the

line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then (x,y)=(

m+n

mx

2

+nx

1

,

m+n

my2+ny

1

)

Substituting (x

1

,y

1

)=(1,2) and (x

2

,y

2

)=(2,3) and m=4,n=3 in the section formula, we get

R=(

4+3

4(2)+3(1)

,

4+3

4(3)+3(2)

)=(

7

11

,

7

18

)

Step-by-step explanation:

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