Question

graph the line that passes through the points (-7, 7) and (-7, -4) and determine the equation of the line.

Explanation:

Step1: Analyze x - coordinates

The two points are \((-7, 7)\) and \((-7, -4)\). The x - coordinate for both points is \(-7\). In a line, if the x - coordinate of all points on the line is constant, the line is a vertical line.

Step2: Determine the equation

For a vertical line, the equation is of the form \(x = a\), where \(a\) is the constant x - coordinate of the points on the line. Since the x - coordinate here is \(-7\), the equation of the line is \(x=-7\).
To graph the line, we plot the points \((-7, 7)\) and \((-7, -4)\) and draw a vertical line passing through these points (parallel to the y - axis) at \(x = - 7\).

Answer:

The equation of the line is \(x=-7\) (and the graph is a vertical line passing through \(x = - 7\) and passing through the points \((-7,7)\) and \((-7, - 4)\)).