Question What is the equation of the line that passes through the point (4,7) and has an undefined slope? Answer Attemptiout of 2

To find the equation of a line with an undefined slope, we need to understand that an undefined slope means the line is vertical. The equation of a vertical line is always in the form \( x = a \), where \( a \) is the x-coordinate of any point on the line.<br /><br />Given that the line passes through the point \( (4, 7) \), the x-coordinate is 4. Therefore, the equation of the line is:<br /><br />\[ x = 4 \]<br /><br />This line is vertical and passes through all points where the x-coordinate is 4, regardless of the y-coordinate.