Question

Find the slope of the line passing through the points 1) (-3, 8), (10,5 1) (3, 4), (7-6) 1) 18, 1) (-1) (- p. 9) (9. - p) Find the value ofr if the stone of the line joining (2,3), (4,3) is 2.​

Answer 1

Answer:

Step-by-step explanation:

Given, two points P(5,1) and Q(1,−1)

Slope of the line (m) =  

x  

2

​

−x  

1

​

 

y  

2

​

−y  

1

​

 

​

 

= −1−  

1

1

​

−5

=  

−4

−2

​

=  

2

1

​

 

So, the equation of the line is  

y−y  

1

​

=m(x−x  

1

​

)

y−1=  

2

1

​

(x−5)

2y−2=x−5

x−2y−3=0

Now, if point R(11,4) is collinear to points P and Q then, R (11,4)should satisfy the line equation.

On substituting, we have

11−2(4)−3=11−8−3=0  

As point R satisfies the line equation,

Hence, P,Q and R are collinear.