To find the points of intersection for the equations given, we can substitute \( y = -4 \) into the second equation \( x = -4y + 2 \).
-
Substitute \( y = -4 \) into the equation for \( x \): \[ x = -4(-4) + 2 \]
-
Calculate the value: \[ x = 16 + 2 = 18 \]
So, when \( y = -4 \), \( x = 18 \).
Thus, the solution is: \[ \begin{align*} x & = 18 \ y & = -4 \end{align*} \]
Therefore, the point of intersection is \( (18, -4) \).