Question

find the y-intercept of the line represented by the equation below.

$y = -6$

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a line is the point where the line crosses the y - axis. At this point, the x - coordinate is 0. For a linear equation in the form \(y = mx + b\) (slope - intercept form), the y - intercept is \(b\) (when \(x = 0\), \(y=b\)).

Step2: Analyze the given equation

The given equation is \(y=- 6\) (assuming the "−0" is a typo and should be a non - zero constant, let's assume it's \(y = - 6\) for a valid linear equation). This equation can be written in slope - intercept form \(y=mx + b\) as \(y = 0x-6\). When \(x = 0\), we substitute \(x = 0\) into the equation \(y=-6\). So the value of \(y\) when \(x = 0\) is \(-6\).

Answer:

The y - intercept is \(-6\) (or if the equation is \(y = 0\), the y - intercept is \(0\)). If we take the equation as \(y=-6\) (correcting the possible typo), the y - intercept is \(-6\). If the equation is \(y = 0\), the y - intercept is \(0\).