Question

what is the equation of the line that passes through the point (4, 7) and has an undefined slope?

Explanation:

Step1: Recall undefined slope lines

Lines with undefined slope are vertical lines. The equation of a vertical line is of the form \( x = a \), where \( a \) is the x - coordinate of any point on the line.

Step2: Determine the value of \( a \)

The line passes through the point \( (4,7) \). For a vertical line, the x - coordinate is constant. So, the x - coordinate of the point \( (4,7) \) is 4. So the equation of the line is \( x = 4 \).

Answer:

The equation of the line is \( x = 4 \)