\[ \begin{array}{r}-10 x+2 y=22 \\ -2 x+2 y=-2\end{array} \] Answer Graph the linear equations by writing the equations in slope-intercept form: \( y=\square x+\square \)

To graph the given system of linear equations, it's helpful to rewrite each equation in **slope-intercept form**, which is: \[ y = mx + b \] where: - \( m \) is the **slope** of the line. - \( b \) is the **y-intercept** (the point where the line crosses the y-axis). Let's rewrite each equation accordingly. ### 1. First Equation: \( -10x + 2y = 22 \) **Step 1:** Solve for \( y \). \[ \begin{align*} -10x + 2y &= 22 \\ 2y &= 10x + 22 \quad \text{(Add } 10x \text{ to both sides)} \\ y &= \frac{10x + 22}{2} \quad \text{(Divide both sides by 2)} \\ y &= 5x + 11 \end{align*} \] **Slope-Intercept Form:** \[ y = 5x + 11 \] - **Slope (\( m \))**: 5 - **Y-intercept (\( b \))**: 11 ### 2. Second Equation: \( -2x + 2y = -2 \) **Step 1:** Solve for \( y \). \[ \begin{align*} -2x + 2y &= -2 \\ 2y &= 2x - 2 \quad \text{(Add } 2x \text{ to both sides)} \\ y &= \frac{2x - 2}{2} \quad \text{(Divide both sides by 2)} \\ y &= x - 1 \end{align*} \] **Slope-Intercept Form:** \[ y = x - 1 \] - **Slope (\( m \))**: 1 - **Y-intercept (\( b \))**: -1 ### Summary - **First Equation:** \( y = \mathbf{5}x + \mathbf{11} \) - **Second Equation:** \( y = \mathbf{1}x + \mathbf{-1} \) You can now graph these equations by plotting their y-intercepts and using their slopes to determine the direction of each line.