Question

The x-intercept of the line joining the points (-4, 5) and (2, -4) is ________ Pls Answer Fast Pls

Answer 1

Answer:

According to Section Formula

x=

m+n

mx

2

+nx

1

y=

m+n

my

2

+ny

1

where, (x,y) is the point which divides the line made by the points in m:n ratio

Also,

Let the y intercept will have coordinate (0,y)

and the x intercept will have coordinate (x,0)

Hence,

−5=

1+2

2x+1∗0

=

3

2x

⇒x=−

2

15

4=

1+2

y+2∗0

=

3

y

⇒y=12

Now, we can write the intercept of the line as

2

−15

x

+

12

y

=1⇒

15

−2x

+

12

y

=1

Multiplying both sides by 60

−8x+5y=60⇒8x−5y+60=0