Find the equation of the line that contains the given point and is parallel to the given line. Write the equation in slope-intercept form, if possible. \( (1,-2) ; y=-3 \) A. The equation of the parallel line in slope-intercept form is B. The equation of the parallel line cannot be written in slope-intercept form. The equation of the parallel line is Aill in the answer box to complete your choice. .

To find the equation of the line that is parallel to the given line \(y = -3\), we first note that lines that are parallel have the same slope. The line \(y = -3\) is a horizontal line with a slope of \(0\). Since the new line will also be horizontal and must go through the point \((1, -2)\), its equation will be of the form \(y = b\) where \(b\) is the y-coordinate of the point it passes through. Thus, the equation of the parallel line is \(y = -2\). Now, if we were to explore further, we could see that both parallel lines (like \(y = -2\) and \(y = -3\)) represent constant functions, which means no matter the value of \(x\), the output will always stay the same! Engaging, right? For those looking to dive deeper, you might enjoy reading about linear equations, as they form the backbone of algebra. From real-world applications in construction to data modeling, understanding these equations can really help you visualize relationships in various fields. Happy learning!