Math Problem Statement

You have provided an image of a table showing the equation y = 2x, with x values needing corresponding y values. The task is to fill in the table by substituting x values into the equation.

Solution

You have provided an image of a table that shows the equation y=2xy = 2x, and a list of xx values that need corresponding yy values. To fill in the table, we simply need to substitute the given values of xx into the equation.

The equation is: y=2xy = 2x

Let's compute the yy values for each xx:

  1. For x=3x = -3: y=2(3)=6y = 2(-3) = -6

  2. For x=2x = -2: y=2(2)=4y = 2(-2) = -4

  3. For x=1x = -1: y=2(1)=2y = 2(-1) = -2

  4. For x=0x = 0: y=2(0)=0y = 2(0) = 0

Now, the completed table looks like this:

\hline x & y \\ \hline -3 & -6 \\ -2 & -4 \\ -1 & -2 \\ 0 & 0 \\ \hline \end{array}$$ Would you like more details or further explanation on how this was calculated? Here are some related questions you might explore: 1. How would the table change if the equation was $$y = 3x$$? 2. What happens to the $$y$$-values if you change the sign of $$x$$? 3. How can we graph the equation $$y = 2x$$? 4. What is the slope of the line represented by $$y = 2x$$? 5. Can you find the $$y$$-values if $$x = 1$$ and $$x = 2$$? **Tip:** The equation $$y = 2x$$ is a linear equation, and the coefficient of $$x$$ (in this case, 2) determines the steepness of the line when graphed.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra
Function Evaluation

Formulas

y = 2x

Theorems

Linear Function Properties

Suitable Grade Level

Grades 6-8