y=-2x+4	use table of values and also graph

To solve and graph the equation \( y = -2x + 4 \), we'll follow two steps:

### Step 1: Table of Values
First, create a table of values by choosing a few values for \( x \) and then calculating the corresponding values for \( y \).

| \( x \) | \( y = -2x + 4 \) |
|:------:|:-----------------:|
|   -2   |        8          |
|   -1   |        6          |
|    0   |        4          |
|    1   |        2          |
|    2   |        0          |

### Step 2: Graph
Now that we have the points, we can plot them on a graph:

- Plot the points \((-2, 8)\), \((-1, 6)\), \((0, 4)\), \((1, 2)\), and \((2, 0)\).
- Draw a straight line through these points. Since this is a linear equation, the points should form a straight line with a slope of -2 (indicating the line is decreasing) and a y-intercept of 4 (where the line crosses the y-axis).

Would you like me to generate the graph for you? Let me know if you need more details or have any questions.

Here are 5 related questions you might want to explore:
1. How do you determine the slope from the equation?
2. What is the significance of the y-intercept in the equation?
3. How does changing the slope affect the graph of the line?
4. What happens to the line if the y-intercept changes?
5. How would the equation change if the line were parallel to the current one?

**Tip:** The slope tells you how steep the line is, while the y-intercept gives you where the line crosses the y-axis.

y = -2x + 4, use table of values and also graph

Learn how to graph the linear equation y = -2x + 4 using a table of values. This step-by-step guide shows how to create the table, calculate corresponding points, and plot them on a graph. Understand the slope, y-intercept, and how to draw the line for this equation. Suitable for Grades 6-8 students.

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