Question

If A (-5,5), B(6,5) ,C (-3,5) ,D(0,5), then answer the following questions.

i) What is the nature of line passing through points A,B,C and D?ii) What is the distance of this line from X-axis?

iii) Write the equation of the line passing through these points.​

Answer 1

Step-by-step explanation:

We need to find the equation of the line passing through the points A(−3,4) and B(4,5).

The equation of the line is

x

2

−x

1

x−x

1

=

y

2

−y

1

y−y

1

Here (−3,4)≡(x

1

,y

1

),(4,5)≡(x

2

,y

2

)

∴

4+3

x+3

=

5−4

y−4

⇒

7

x+3

=

1

y−4

⇒x+3=7(y−4)

⇒x+3=7y−28

⇒x−7y+3+28=0

⇒x−7y+31=0