The equation 8x + 2y = 12 is a linear equation in two variables x and y. The line that this equation represents is known as the line of 8x + 2y = 12. In this article, we will discuss which line is parallel to this line and how to determine if two lines are parallel.
What is a Parallel Line?
A parallel line is a line that is equidistant from the original line at all points. It has the same slope as the original line, but its y-intercept is different. Two lines are parallel if they have the same slope, but different y-intercepts.Which Line Is Parallel To The Line 8x 2y 12?
To find the line that is parallel to the line 8x + 2y = 12, we must find the slope of the line and then use the same slope to find the equation of the parallel line. The slope of the line 8x + 2y = 12 is 4. Therefore, the equation of the line parallel to 8x + 2y = 12 is 8x + 2y = b, where b is the y-intercept of the line.Comparison of the Two Lines
| Line | Equation | Slope | y-intercept |
|---|---|---|---|
| 8x + 2y = 12 | 8x + 2y = 12 | 4 | 12 |
| Parallel Line | 8x + 2y = b | 4 | b |
Conclusion
In conclusion, the line 8x + 2y = 12 is parallel to the line 8x + 2y = b, where b is any constant value. This means that the two lines have the same slope, but different y-intercepts.People Also Ask:
Q: What is the equation of a line parallel to 8x + 2y = 12?A: The equation of the line parallel to 8x + 2y = 12 is 8x + 2y = b, where b is the y-intercept of the line. Q: How do you find the slope of a line?
A: To find the slope of a line, you need to calculate the change in y over the change in x. This is done by dividing the difference in y values by the difference in x values. Q: What is the definition of a parallel line?
A: A parallel line is a line that is equidistant from the original line at all points. It has the same slope as the original line, but its y-intercept is different.