Write in slope intercept form \( y=1-x^{2} \)

To rewrite the equation \( y = 1 - x^{2} \) in slope-intercept form, you want it to resemble \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. You can rearrange it as follows: First, swap the equation to isolate \( y \): \( y = -x^{2} + 1 \). In this case, the slope \( m \) is 0 for the linear component (since it doesn’t have an \( x \) term in the straight line sense), but it’s important to note that this formula actually represents a parabola opening downwards with the vertex at (0, 1). So, while it looks like it could fit into slope-intercept form, it doesn't have a consistent slope across its entire graph! And there you have it, the equation is now formally in slope-intercept form, but beware! It's actually a quadratic curve, not a line!