The equation \(x = -1\) represents a vertical line that passes through the point \((-1, 1)\). Vertical lines cannot be expressed in slope-intercept form (which is \(y = mx + b\)) because they do not have a defined slope—straight vertical lines have an undefined slope.
On the other hand, the equation \(y = 1\) represents a horizontal line that passes through the point \((-1, 1)\). In slope-intercept form, this can be rewritten using \(m = 0\) (since horizontal lines have a slope of 0) as:
\[ y = 0x + 1 \]
So, while we cannot provide a slope-intercept form for \(x = -1\), we can describe the horizontal line as \(y = 1\).