Question

r
$\ \textless \ br /\ \textgreater \ 4 + \frac{2}{3} (x+2)⩽ \frac{3}{8} x+1$
​

Answer 1

Answer:

If a point (x,y) divides the line segment joining the points A(x  

1

​  

,y  

1

​  

) and B(x  

2

​  

,y  

2

​  

) in the ratio m:n , then

x=  

m+n

mx  

2

​  

+nx  

1

​  

 

​  

 

y=  

m+n

my  

2

​  

+ny  

1

​  

 

​  

 

Here,  

m:n = 3:4

(x  

1

​  

,y  

1

​  

)=(2,5)

Let the coordinates of B are (x  

2

​  

,y  

2

​  

)

Then,

−1=  

3+4

3x  

2

​  

+4(2)

​  

 

−1=  

7

3x  

2

​  

+8

​  

 

3x  

2

​  

+8=−7

x  

2

​  

=−5

And,

2=  

3+4

3y  

2

​  

+4(5)

​  

 

2=  

7

3y  

2

​  

+20

​  

 

3y  

2

​  

+20=14

y  

2

​  

=−2

Step-by-step explanation: