Question

⑧ y = -2x + 6\
y = 2x + 2

Explanation:

Step1: Set equations equal

Since \( y = -2x + 6 \) and \( y = 2x + 2 \), set \( -2x + 6 = 2x + 2 \).

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 6 = 4x + 2 \). Subtract 2: \( 4 = 4x \). Divide by 4: \( x = 1 \).

Step3: Find \( y \)

Substitute \( x = 1 \) into \( y = 2x + 2 \): \( y = 2(1) + 2 = 4 \).

Answer:

The solution is \( x = 1 \), \( y = 4 \) (the intersection point is \((1, 4)\)).