Question

write the standard form of the equation of the line through the pair of points (1,2) and (1, –4). the standard form of the equation of the line passing through the points (1,2) and (1, –4) is given by \boxed{}. (simplify your answer.)

Explanation:

Step1: Analyze the x - coordinates of the two points

The two points are \((1,2)\) and \((1, - 4)\). We can see that the x - coordinate of both points is \(x = 1\). In a line, if all the points on the line have the same x - coordinate, the line is a vertical line.

Step2: Determine the equation of the vertical line

The equation of a vertical line is of the form \(x=a\), where \(a\) is the x - coordinate of any point on the line. Since the x - coordinate of the points \((1,2)\) and \((1,-4)\) is \(1\), the equation of the line is \(x = 1\).

Answer:

\(x=1\)