Math Problem Statement
Solution
The text in the image is in Latvian, and it translates to:
"1. Construct the function in the coordinate plane by first filling out the given table!"
This problem involves plotting the linear function on a coordinate plane. To do this, you will need to fill out a table with values of and their corresponding values of , which can be calculated using the equation .
Here’s how you can fill in the table:
For each value of , substitute it into the equation to find . Here are a few sample calculations:
- For :
- For :
- For :
- For :
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:
- How does the slope of a linear function affect its graph?
- What does the y-intercept represent in the function ?
- How can you tell if a linear function has a positive or negative slope by looking at the equation?
- What happens to the graph if you change the slope in the equation?
- 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