Question

Y=-X+1 intersects y=2x+4 at

Answer 1

The point at which they intersect is;

`(-1,2)`

Step-by-step explanation:

We want to find the point at which the two linear equation intersect.

`\begin{gathered} y=-x+1 \\ y=2x+4 \end{gathered}`

At the point of intersection the value of y and x of the two equations are the same.

So, let us equate the two equations to find the value of x;

`\begin{gathered} y=-x+1=2x+4 \\ -x+1=2x+4 \\ \text{collectint the like terms;} \\ +1-4=2x+x \\ -3=3x \\ x=-(3)/(3) \\ x=-1 \end{gathered}`

The we can now substitute to get the corresponding value of y;

`\begin{gathered} y=-x+1 \\ y=-(-1)+1=1+1 \\ y=2 \end{gathered}`

Therefore, the point at which they intersect is;

`(-1,2)`