Question

107 points)
049 Solve the given questions
a) If the gradient of the line joining the points (6, -2) and (b. 5) is 14. find the value of b
b) If the distance between the points A (3.5) and B (0 k) is 5 units, find the possible values
of b​

Answer 1

Answer:

A(1,3),  B(x,7)

AB=5 units

Step-by-step explanation:

Distance between two points =

(x

1

​

−x

2

​

)

2

+(y

1

​

−y

2

​

)

2

​

(x

1

​

,y

1

​

) and (x

2

​

,y

2

​

)

AB=

(x−1)

2

+(7−3)

2

​

Squaring Both sides

(AB)

2

=(x−1)

2

+(4)

2

(5)

2

=x

2

−2x+1+16

25=x

2

−2x+17

x

2

−2x−8=0

x

2

−4x+2x−8=0

(x−4)(x+2)

x=−2 or 4