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

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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.
To graph the equations, rewrite them in slope-intercept form: 1. $$ y = 5x + 11 $$ 2. $$ y = x - 1 $$ Plot the y-intercepts and use the slopes to draw the lines.

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

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