Question

1. image of a coordinate grid with the y-axis (blue line) and two blue dots on it, x-axis is black

Explanation:

Step1: Identify the line type

The blue line is vertical, lying on the y - axis (x = 0). For a vertical line, the slope is undefined, and the equation is of the form \(x = a\), where \(a\) is the x - coordinate of any point on the line.

Step2: Determine the equation

Looking at the points on the blue line, the x - coordinate of all points on this line is 0. So the equation of the line is \(x=0\) (the y - axis).

Answer:

The equation of the line is \(x = 0\)