Question

For the formula Y = 2x, compute the Y value for each x value given.

x = 0, Y =

x = 9, Y =

x = 8, Y =

x = 7, Y =

x = 6, Y =

x = 5, Y =

x = 4, Y =

x = 3, Y =

x = 2, Y =

x = 1, Y =

Answer 1

Values of Y were calculated using the linear equation Y = 2x by substituting the given X values and multiplying by 2. This resulted in a set of coordinate pairs for the original linear function which can be used to plot the line on a graph.

Step-by-step explanation:

The student is asking for help with the linear function Y = 2x. To compute the values of Y for various X values, we simply multiply each given X value by 2 according to the function's rule. Here is the list of calculated Y values for the corresponding X values:

• For x = 0, Y = 2×0 = 0
• For x = 9, Y = 2×9 = 18
• For x = 8, Y = 2×8 = 16
• For x = 7, Y = 2×7 = 14
• For x = 6, Y = 2×6 = 12
• For x = 5, Y = 2×5 = 10
• For x = 4, Y = 2×4 = 8
• For x = 3, Y = 2×3 = 6
• For x = 2, Y = 2×2 = 4
• For x = 1, Y = 2×1 = 2

This process demonstrates how to use a linear equation to find coordinate pairs that can be plotted on a graph to represent the line.

Answer 2

`y = 2x \\ when \: \\ x = 0 \: y = 0 \\ x = 9 \: y = 18 \\ x = 8 \: y = 16 \\ x = 7 \: y = 14 \\ x = 6 \: y = 12 \\ x = 5 \: y = 10 \\ x = 4 \: y = 8 \\ x = 3y = 6 \\ x = 2 \: y = 4 \\ x = 1 \: y = 2`