Question

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

Answer 1

Answer:

The point at which they intersect is;

$(-1,2)$

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;

$\begin{gathered} y=-x+1=2x+4 \\ -x+1=2x+4 \\ \text{collectint the like terms;} \\ +1-4=2x+x \\ -3=3x \\ x=-\frac{3}{3} \\ x=-1 \end{gathered}$

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;

$(-1,2)$