Fill In The Blanks In The Table Using The Equation $y = X + 12$.$\[ \begin{array}{|c|c|} \hline x & Y \\ \hline -10 & \square \\ \hline -7 & \square \\ \hline -5 & \square \\ \hline -4 & \square \\ \hline -3 & \square
Solving for y in the Equation y = x + 12
In this article, we will be exploring the concept of solving for y in a linear equation. The equation we will be working with is y = x + 12. This equation represents a straight line on a graph, where the value of y is determined by the value of x. We will be using this equation to fill in the blanks in a table, where the values of x are given and we need to find the corresponding values of y.
Understanding the Equation
The equation y = x + 12 is a simple linear equation, where y is the dependent variable and x is the independent variable. The equation states that for every value of x, the corresponding value of y is 12 more than x. For example, if x is 5, then y is 5 + 12 = 17.
Filling in the Blanks
We are given a table with values of x and we need to fill in the corresponding values of y using the equation y = x + 12. The table is as follows:
| x | y |
|---|---|
| -10 | |
| -7 | |
| -5 | |
| -4 | |
| -3 |
To fill in the blanks, we simply need to substitute the values of x into the equation y = x + 12 and solve for y.
Filling in the Blank for x = -10
For x = -10, we substitute this value into the equation y = x + 12.
y = -10 + 12 y = 2
So, the value of y for x = -10 is 2.
Filling in the Blank for x = -7
For x = -7, we substitute this value into the equation y = x + 12.
y = -7 + 12 y = 5
So, the value of y for x = -7 is 5.
Filling in the Blank for x = -5
For x = -5, we substitute this value into the equation y = x + 12.
y = -5 + 12 y = 7
So, the value of y for x = -5 is 7.
Filling in the Blank for x = -4
For x = -4, we substitute this value into the equation y = x + 12.
y = -4 + 12 y = 8
So, the value of y for x = -4 is 8.
Filling in the Blank for x = -3
For x = -3, we substitute this value into the equation y = x + 12.
y = -3 + 12 y = 9
So, the value of y for x = -3 is 9.
In this article, we have used the equation y = x + 12 to fill in the blanks in a table. We have substituted the values of x into the equation and solved for y. The values of y for each value of x are as follows:
| x | y |
|---|---|
| -10 | 2 |
| -7 | 5 |
| -5 | 7 |
| -4 | 8 |
| -3 | 9 |
We have demonstrated how to use a linear equation to solve for y and fill in the blanks in a table. This is a useful skill to have in mathematics and can be applied to a wide range of problems.
Frequently Asked Questions about Solving for y in the Equation y = x + 12
In our previous article, we explored the concept of solving for y in the equation y = x + 12. We used this equation to fill in the blanks in a table, where the values of x were given and we needed to find the corresponding values of y. In this article, we will be answering some frequently asked questions about solving for y in the equation y = x + 12.
Q: What is the equation y = x + 12?
A: The equation y = x + 12 is a simple linear equation, where y is the dependent variable and x is the independent variable. The equation states that for every value of x, the corresponding value of y is 12 more than x.
Q: How do I solve for y in the equation y = x + 12?
A: To solve for y in the equation y = x + 12, you simply need to substitute the value of x into the equation and add 12 to it. For example, if x is 5, then y is 5 + 12 = 17.
Q: What if I have a negative value of x?
A: If you have a negative value of x, you can still solve for y by substituting the value of x into the equation and adding 12 to it. For example, if x is -3, then y is -3 + 12 = 9.
Q: Can I use the equation y = x + 12 to solve for x?
A: No, the equation y = x + 12 is used to solve for y, not x. If you want to solve for x, you would need to use a different equation.
Q: What if I have a decimal value of x?
A: If you have a decimal value of x, you can still solve for y by substituting the value of x into the equation and adding 12 to it. For example, if x is 3.5, then y is 3.5 + 12 = 15.5.
Q: Can I use the equation y = x + 12 to solve for y if x is a fraction?
A: Yes, you can use the equation y = x + 12 to solve for y if x is a fraction. For example, if x is 1/2, then y is 1/2 + 12 = 12.5.
Q: What if I have a mixed number value of x?
A: If you have a mixed number value of x, you can still solve for y by substituting the value of x into the equation and adding 12 to it. For example, if x is 2 1/2, then y is 2 1/2 + 12 = 14.5.
In this article, we have answered some frequently asked questions about solving for y in the equation y = x + 12. We have demonstrated how to use this equation to solve for y with different types of values for x, including negative values, decimal values, fractions, and mixed numbers. We hope that this article has been helpful in answering your questions about solving for y in the equation y = x + 12.
If you are looking for additional resources to help you learn more about solving for y in the equation y = x + 12, we recommend the following:
- Khan Academy: Solving Linear Equations
- Mathway: Solving Linear Equations
- IXL: Solving Linear Equations
These resources provide additional practice and review of solving for y in the equation y = x + 12. We hope that you find them helpful in your learning.