https://file.aiquickdraw.com/mathbot/file/1726884033887jpmyi5t8.jpg

The text in the image is in Latvian, and it translates to:

"1. Construct the function \( y = 2x - 4 \) in the coordinate plane by first filling out the given table!"

This problem involves plotting the linear function \( y = 2x - 4 \) on a coordinate plane. To do this, you will need to fill out a table with values of \( x \) and their corresponding values of \( y \), which can be calculated using the equation \( y = 2x - 4 \).

Here’s how you can fill in the table:

For each value of \( x \), substitute it into the equation \( y = 2x - 4 \) to find \( y \). Here are a few sample calculations:

- For \( x = -2 \): \( y = 2(-2) - 4 = -4 - 4 = -8 \)
- For \( x = 0 \): \( y = 2(0) - 4 = 0 - 4 = -4 \)
- For \( x = 2 \): \( y = 2(2) - 4 = 4 - 4 = 0 \)
- For \( x = 4 \): \( y = 2(4) - 4 = 8 - 4 = 4 \)

This will give you a table of values that you can use to plot the points on the graph.

Would you like me to create the table and the graph for you?

Here are 5 related questions to expand your understanding:
1. How does the slope of a linear function affect its graph?
2. What does the y-intercept represent in the function \( y = 2x - 4 \)?
3. How can you tell if a linear function has a positive or negative slope by looking at the equation?
4. What happens to the graph if you change the slope in the equation?
5. How can you use a table of values to check the accuracy of your graph?

**Tip:** When plotting linear functions, two points are enough to define the line, but using three or more ensures accuracy!

Koordinātu plaknē konstruē funkcijas y = 2x - 4, vispirms aizpildot doto tabulu!

Learn how to graph the linear equation y = 2x - 4 by first completing a table of values. This example covers the core concepts of linear equations and slope-intercept form, suitable for students in Grades 6-8.

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