Question

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

Explanation:

Step1: Analyze the line's orientation

A line perpendicular to the x - axis is a vertical line. Vertical lines have an undefined slope.

Step2: Determine the equation of the vertical line

A vertical line passing through the point \((x_0,y_0)\) has the equation \(x = x_0\). Here, the point is \((- 4,7)\), so the equation of the line is \(x=-4\).

Step3: Confirm the slope

As vertical lines have undefined slopes, the slope of this line is undefined.

Answer:

Equation: \(x = - 4\)
Slope: Undefined