Question

if the lines joining the points (0,0)(1,1)(2,2)(4,y) are perpendicular find y​

Answer 1

Consider the given points.
A(0,5) and B(4,2)

Slope of AB=m
1
​
=
4−0
2−5
​
=
4
−3
​


Consider the given other points.
C(−1,−2) and D(5,b)

Slope of CD=m
2
​
=
5+1
b+2
​
=
6
b+2
​


Since, both lines are perpendicular to each other so,
m
1
​
.m
2
​
=−1

Therefore,
4
−3
​
×
6
b+2
​
=−1

4
1
​
×
2
b+2
​
=1

b+2=8

b=6

Hence, this is the answer.




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