Finding X And Y Intercepts From Standard Form Worksheet, 42% OFF - Free Printable

It looks like you've uploaded an image of a worksheet titled "Slope and Y-Intercept", which contains several graphs of lines on coordinate planes. The task is to:

1. Find the slope of each line.
2. Find the y-intercept of each line.

Since I can't view images directly, I’ll guide you through how to solve this type of problem step by step. Then, if you describe the graphs or provide details about them (e.g., coordinates of points on the lines), I can help you find the slope and y-intercept for each.

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🔍 How to Find Slope and Y-Intercept from a Graph

#### 1. Slope (m)
The slope is the "rise over run" — how much the line goes up (or down) divided by how much it moves right.

Formula:
\[
\text{slope} = m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Steps:
- Pick two points on the line: \((x_1, y_1)\) and \((x_2, y_2)\).
- Calculate the difference in y-values (rise).
- Calculate the difference in x-values (run).
- Divide rise by run.

✔ Example: If a line goes from (0, 1) to (2, 5):
\[
m = \frac{5 - 1}{2 - 0} = \frac{4}{2} = 2
\]

#### 2. Y-Intercept (b)
This is the point where the line crosses the y-axis (where \(x = 0\)).

- Look for the point where the line touches the vertical axis.
- The y-coordinate of that point is the y-intercept.

✔ Example: If the line crosses the y-axis at (0, 3), then \(b = 3\).

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📌 General Equation of a Line

Once you have slope \(m\) and y-intercept \(b\), the equation is:
\[
y = mx + b
\]

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✔ Step-by-Step Instructions for Each Graph

For each graph on your worksheet (there are likely 8), follow these steps:

1. Identify two points on the line.
2. Use the slope formula to calculate \(m\).
3. Find where the line crosses the y-axis → that’s \(b\).
4. Write the answer as:
- Slope: ___
- Y-intercept: ___

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💡 Tips

- If the line goes up from left to right → positive slope.
- If it goes down → negative slope.
- If it's horizontal → slope = 0.
- If it's vertical → undefined slope (but vertical lines don’t have a y-intercept unless they're the y-axis itself).

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🧩 Example Problem (Hypothetical)

Let’s say one graph shows a line passing through:
- (0, -2)
- (4, 2)

Then:
- Slope: \(m = \frac{2 - (-2)}{4 - 0} = \frac{4}{4} = 1\)
- Y-intercept: (0, -2) → so \(b = -2\)

Answer:
- Slope: 1
- Y-intercept: -2

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Now, if you can describe the graphs or list the coordinates of two points on each line, I can help you solve all eight problems! Just tell me what you see in each graph (e.g., “Line passes through (0,1) and (2,5)” or “Crosses y-axis at 3 and goes up 2, right 1”).