Question

find the equation and slope of a line that is parallel to the line ( x = 5 ) and passes through the point ( (-7, 4) ). click on undefined as the answer if necessary.
equation:
slope:

Explanation:

Step1: Analyze the given line

The line \( x = 5 \) is a vertical line. Vertical lines have an undefined slope.

Step2: Determine the slope of the parallel line

Parallel lines have the same slope. Since the line \( x = 5 \) has an undefined slope, the line parallel to it will also have an undefined slope.

Step3: Determine the equation of the parallel line

A vertical line passing through the point \( (-7, 4) \) has the equation \( x = -7 \) (because all points on a vertical line have the same \( x \)-coordinate).

Answer:

Equation: \( x = -7 \)
Slope: Undefined