Question

write a system of linear equations for the graph below.
\\(\

$$\begin{cases} y = \\square \\\\ y = \\square \\end{cases}$$

\\)

Explanation:

Step1: Find slope of first line

Points on first line: \((0, 4)\) and \((-2, 0)\). Slope \(m = \frac{4 - 0}{0 - (-2)} = 2\). Equation: \(y - 4 = 2(x - 0)\) → \(y = 2x + 4\).

Step2: Find slope of second line

Points on second line: \((0, 6)\) and \((-3, 0)\). Slope \(m = \frac{6 - 0}{0 - (-3)} = 2\). Equation: \(y - 6 = 2(x - 0)\) → \(y = 2x + 6\).

Answer:

\(

$$\begin{cases} y = 2x + 4 \\ y = 2x + 6 \end{cases}$$

\)