Question

The equation of the line passing through the points (2-3) and (4.-7) is ax+by+c=0 then
a+b+c=​

Answer 1

Answer:

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