Question

Y = 2/5x + 1
y = -2/5 - 3
what is the point of intersection

Answer 1

The point of intersection of given polynomials is ( - 5 , - 1 ) .

Explanation:

Given as :

The two polynomials are

y =
`(2)/(5)` x + 1 ........A

y =
`( - 2)/(5)` x - 3 ........B

Let The point of intersection = p = x,y

Now, Solving the equation A and B

So, Putting the value of y from Eq A into Eq B

i.e
`(2)/(5)` x + 1 =
`( - 2)/(5)` x - 3

Rearranging the equation

Or,
`(2)/(5)` x - (
`(- 2)/(5)` x) = - 3 - 1

Or,
`(2)/(5)` x +
`( 2)/(5)` x = - 3 - 1

Or, (
`(2)/(5)` +
`(2)/(5)` ) x = - 4

Or, (
`(2 + 2)/(5)`) x = - 4

Or, (
`(4)/(5)` ) x = - 4

∴ x =
`(- 4* 5)/(4)`

i.e x = - 5

So The value of x = - 5

now put the vale of x into eq B

∵y =
`( - 2)/(5)` x - 3

So, y =
`( - 2)/(5)` × (-5) - 3

Or, y =
`(- 2* (-5))/(5)` - 3

Or, y = 2 - 3

i.e y = - 1

So The value of y = - 1

So,The point of intersection = p = x , y = - 5 , - 1

Hence, The point of intersection of given polynomials is ( - 5 , - 1 ) . Answer