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
Answers
Answered by
0
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
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