Question

prove that the set of points lie on the straight line and find the equation of the (2,1) (-1,2) (-4,3)​

Answer 1

Answer:

Given: Equation of line joining (5,1)≡(x

1

,y

1

) and (1,−1)≡(x

2

,y

2

) is

y−y

1

=m(x−x

1

)

m=(

x

2

−x

1

y

2

−y

1

)

y−1=(

1−5

−1−1

)(x−5)

y−1=

4

2

(x−5)

4y−4=2x−10

2x−4y=6

x−2y=3.......(i)

Substituing (11,4) in (i)

(11)−2(4)=3

11−8=3

3=3

It satisfies the equation of line, so all the points lie on the same straight line.

x−2y=3

x=0⇒y=−

4

6

=−

2

3

y=0⇒x=3

So x intercept is 3 and y intercept is −

2

3

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