Answer: x=3
Step-by-step explanation: The equation of a line can be determined using the slope-intercept form, which is given by y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the equation of the line passing through the coordinates (3,3) and (3,-3), we need to determine the slope of the line.
The slope (m) of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
In this case, the coordinates are (3,3) and (3,-3), so x1 = x2 = 3, y1 = 3, and y2 = -3.
Substituting these values into the formula, we get:
m = (-3 - 3) / (3 - 3) = -6 / 0
The denominator is zero, which means that the slope is undefined. This occurs when the line is vertical.
When the line is vertical, the equation of the line is in the form x = a, where 'a' is the x-coordinate of any point on the line.
In this case, since the line passes through the points (3,3) and (3,-3), the equation of the line is x = 3.
Therefore, the equation of the line passing through the coordinates (3,3) and (3,-3) is x=3