Write the​ equation, in​ slope-intercept form if​ possible, of the line passing through the two points.

​(8​,3​) and ​(8​,−6​)

1 answer

When the x-coordinates of two points are the same, it means that the line passing through those points will be vertical. In this case, the x-coordinate of both points is 8, so the line is vertical.

A vertical line does not have a well-defined slope, so it cannot be expressed in slope-intercept form (y = mx + b).

The equation of the vertical line passing through these two points is simply x = 8.