Question

graph the line that passes through the points $(-8, -2)$ and $(-8, 1)$ and determine the equation of the line.

Explanation:

Step1: Analyze the x - coordinates of the two points

The two points are \((-8, -2)\) and \((-8, 1)\). We can see that the \(x\) - coordinate of both points is \(-8\). In the coordinate plane, a line where all points have the same \(x\) - coordinate is a vertical line.

Step2: Determine the equation of the vertical line

For a vertical line, the equation is of the form \(x = a\), where \(a\) is the \(x\) - coordinate of any point on the line. Since the \(x\) - coordinate of both given points is \(-8\), the equation of the line is \(x=-8\).

Answer:

The equation of the line is \(x = - 8\)