Worksheet for practicing graphing linear equations using intercepts.

It looks like you've uploaded a worksheet titled "Graphing Lines Using Intercepts" from *AlgebraWorksheets.com*. The task involves graphing linear equations by finding the x- and y-intercepts, then plotting those points and drawing the line.

Since I can't view images directly, I’ll walk you through how to solve this type of problem step-by-step. If you can describe the specific equations or provide the content of the worksheet (e.g., the equations listed), I can give more precise answers.

But here's a general guide on how to solve each problem:

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🔹 Step-by-Step Guide: Graphing Lines Using Intercepts

For each equation in the form $ Ax + By = C $, follow these steps:

#### 1. Find the x-intercept
Set $ y = 0 $ and solve for $ x $.
- This gives the point $ (x, 0) $

#### 2. Find the y-intercept
Set $ x = 0 $ and solve for $ y $.
- This gives the point $ (0, y) $

#### 3. Plot both intercepts on the coordinate plane.

#### 4. Draw a straight line through the two points.

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🔸 Example Problem:

Let’s say one of the problems is:
Equation: $ 2x + 3y = 6 $

#### Step 1: Find x-intercept
Set $ y = 0 $:
$$
2x + 3(0) = 6 \Rightarrow 2x = 6 \Rightarrow x = 3
$$
So, x-intercept is $ (3, 0) $

#### Step 2: Find y-intercept
Set $ x = 0 $:
$$
2(0) + 3y = 6 \Rightarrow 3y = 6 \Rightarrow y = 2
$$
So, y-intercept is $ (0, 2) $

#### Step 3: Plot $ (3, 0) $ and $ (0, 2) $, then draw a line through them.

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Now, let’s suppose the worksheet has these types of equations (common ones):

1. $ 2x + y = 4 $
2. $ x - 3y = 6 $
3. $ 3x + 2y = 6 $
4. $ y = 2x + 1 $ → (This one is not in standard form; convert it)

> Note: For equations in slope-intercept form ($ y = mx + b $), you can still find intercepts:
> - y-intercept: $ (0, b) $
> - Set $ y = 0 $ to find x-intercept.

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✔ Tips:

- Always label your axes.
- Use a ruler to draw straight lines.
- Check that the line passes through both intercepts.
- If an equation has no intercept (e.g., vertical/horizontal line), handle separately:
- $ x = a $ → vertical line at $ x = a $
- $ y = b $ → horizontal line at $ y = b $

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📌 Final Answer Format:

For each problem on the worksheet, you should:
- Write down the x-intercept and y-intercept.
- Plot them on the grid.
- Draw the line.

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If you can list the equations from the worksheet (e.g., "Problem 1: $ x + y = 5 $", etc.), I can help solve each one individually with full solutions.

Let me know!