write the equation of line passing through (6,-10)and (6,-6)

I notice that as x is constant, y changes, so it must be a vertical line.

x=6

To find the equation of a line passing through two given points, we can make use of the slope-intercept form of a linear equation:

y = mx + b

Where m represents the slope of the line and b represents the y-intercept.

In this case, we observe that the x-coordinate of both points is the same (x=6), which means the line is perfectly vertical. A vertical line does not have a slope (as the slope is undefined), and therefore cannot be expressed using the slope-intercept form.

Thus, the equation of the line passing through the points (6, -10) and (6, -6) is simply x = 6.