Question

Let A(1,-2) B (6,-2) C(5,1) D (2,1) be four points. (i) Find the slope of the line segments of (a) AB (b) CD (ii) Find the slope of the line segments of (a) BC (b) AD (iii) What can you deduce from your answer? ​

Answer 1

Answer:

ANSWER

R.E.F image

Let the coordinates of 0 be (0,0)

p be (a,b) & Q be (c,d)

from the figure above

∠POQ=90

∘

i.e. OP and OQ lines are perpendicular

to each other

∴ The product of their slopes is −1

As we know, the slope of a line joining

two points be (x

1

,y

1

) & (x

2

,y

2

) is

given by7

x

2

−x

1

y

2

−y

1

So, putting the coordinates above, we

get

Slope of OP=

a−o

b−o

=

a

b

& Slope of OQ=

c−o

d−o

=

c

d

∵ The produced of the slopes is −1, So,

a

b

×

c

d

=−1

bd=−ac⇒

bd+ac=0

Answer 2

Step-by-step explanation:

i hope it help you..........