find the equation of a line that is parallel to the line x=6 and contains the point (-8,9)
please show work,
it also wants me to show the answer in an equation
x=6 is a vertical line, so the vertical line passing through (-8,9) is
x = -8
To find the equation of a line that is parallel to the line x = 6 and passes through the point (-8, 9), we need to determine the equation of the parallel line.
The line x = 6 is a vertical line passing through the x-coordinate 6. Since the desired line is parallel to this vertical line, its equation should also be x = a constant value.
To find this constant value, we can use the given point (-8, 9). Since the x-coordinate of this point should be the same as the constant value in the equation, we have:
x = -8
Therefore, the equation of the line parallel to x = 6 and passing through (-8, 9) is
x = -8.
This equation represents a vertical line passing through the x-coordinate -8.