Math Problem Statement

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

Solution

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

"1. Construct the function y=2x4y = 2x - 4 in the coordinate plane by first filling out the given table!"

This problem involves plotting the linear function y=2x4y = 2x - 4 on a coordinate plane. To do this, you will need to fill out a table with values of xx and their corresponding values of yy, which can be calculated using the equation y=2x4y = 2x - 4.

Here’s how you can fill in the table:

For each value of xx, substitute it into the equation y=2x4y = 2x - 4 to find yy. Here are a few sample calculations:

  • For x=2x = -2: y=2(2)4=44=8y = 2(-2) - 4 = -4 - 4 = -8
  • For x=0x = 0: y=2(0)4=04=4y = 2(0) - 4 = 0 - 4 = -4
  • For x=2x = 2: y=2(2)4=44=0y = 2(2) - 4 = 4 - 4 = 0
  • For x=4x = 4: y=2(4)4=84=4y = 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=2x4y = 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!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Coordinate Geometry

Formulas

y = 2x - 4

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 6-8