Question

graph the system of equations to find the solution. click check my graph to see how you did!
y = -3
x = 2

Explanation:

Step1: Analyze \( y = -3 \)

The equation \( y = -3 \) is a horizontal line. For any \( x \)-value, \( y \) is always \(-3\). So we can plot points like \((0, -3)\), \((1, -3)\), \((-1, -3)\) and draw a horizontal line through them.

Step2: Analyze \( x = 2 \)

The equation \( x = 2 \) is a vertical line. For any \( y \)-value, \( x \) is always \( 2 \). So we can plot points like \((2, 0)\), \((2, 1)\), \((2, -1)\) and draw a vertical line through them.

Step3: Find the intersection

The horizontal line \( y = -3 \) and vertical line \( x = 2 \) intersect at the point where \( x = 2 \) and \( y = -3 \), which is \((2, -3)\).

Answer:

The solution to the system of equations \( y = -3 \) and \( x = 2 \) is the point of intersection \((2, -3)\). When graphing, \( y = -3 \) is a horizontal line through \( y = -3 \) and \( x = 2 \) is a vertical line through \( x = 2 \), and their intersection is \((2, -3)\).