slope-inte rcept form 1. \( x+y=1 \rightarrow \)

To convert the equation \( x+y=1 \) into slope-intercept form (which is \( y=mx+b \)), we need to solve for \( y \). Subtract \( x \) from both sides to get \( y = -x + 1 \). Here, the slope \( m \) is -1, and the y-intercept \( b \) is 1. This means the line descends one unit for every unit it moves to the right and crosses the y-axis at 1! Now, imagine you're plotting this line on a graph. You start at the point (0, 1) on the y-axis. From there, you can easily use the slope to find more points on the line. For example, move down one unit and right one unit from (0, 1) to get to (1, 0). Keep going to find the next point, and you'll see how nicely it stretches across the graph!