What is an equation of the line that passes through the points (2,3) and (2,7) Answer Attemptiout of 2

## Step 1:<br />Identify the coordinates of the two points. The first point is $(2,3)$ and the second point is $(2,7)$.<br /><br />## Step 2:<br />Determine the slope of the line. The slope is calculated by the formula:<br /><br />### \(m = \frac{y_2 - y_1}{x_2 - x_1}\)<br /><br />where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.<br /><br />## Step 3:<br />Substitute the coordinates of the points into the slope formula. <br /><br />### \(m = \frac{7 - 3}{2 - 2} = \frac{4}{0}\)<br /><br />## Step 4:<br />Since the denominator is zero, the slope is undefined. This means the line is vertical.<br /><br />## Step 5:<br />The equation of a vertical line is always in the form $x = k$, where $k$ is the x-coordinate of any point on the line.<br /><br />## Step 6:<br />Substitute the x-coordinate of the points into the equation of the line.<br /><br />### \(x = 2\)