Question

What is the point of intersection of the lines `y = 2x + 4` and `x + y = -11`?

Answer 1

The straight lines intersect at `(-5,-6)`

Explanation:

At the point of intersection, of two lines have the same `x` and `y` coordinates that satisfy the two equations:

`y=2x+4 and " y=-x-11`

To find the `x` coordinate

`y = y`

`2x+4 =-x-11`

`2x+ x=-4-11`

`3x= -15`

`x=-5`

Use any of the two equations to find a value for `y`

`y=2x+4`

`y=2(-5)+4`

`y=-6`

So the two lines intersect at `(-5,-6)`