Question

Find the slope of linc joining

(2.3) and (3,-5)​

Answer 1

Answer:

As we know that the slope of a line joining the points (x  

1

​  

,y  

1

​  

) and (x  

2

​  

,y  

2

​  

) is given as-

m=  

x  

2

​  

−x  

1

​  

 

y  

2

​  

−y  

1

​  

 

​  

 

Therefore,

Slope of line joining the points A(2,x) and B(−3,7) is-

m  

AB

​  

=  

−3−2

7−x

​  

=1(Given)

⇒  

−5

7−x

​  

=1

⇒7−x=−5⇒x=7+5=12As we know that the slope of a line joining the points (x  

1

​  

,y  

1

​  

) and (x  

2

​  

,y  

2

​  

) is given as-

m=  

x  

2

​  

−x  

1

​  

 

y  

2

​  

−y  

1

​  

 

​  

 

Therefore,

Slope of line joining the points A(2,x) and B(−3,7) is-

m  

AB

​  

=  

−3−2

7−x

​  

=1(Given)

⇒  

−5

7−x

​  

=1

⇒7−x=−5⇒x=7+5=12

Step-by-step explanation:

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