What is the slope-intercept form of the line with a slope of 1 and y-intercept of -1?

To find the slope-intercept form of a line, we use the formula (y = mx + b), where (m) represents the slope and (b) is the y-intercept. In this case, the slope is 1 and the y-intercept is -1.

Substituting the given values into the slope-intercept formula, we have:

[ y = 1x - 1 ]

This can be simplified to:

[ y = x - 1 ]

This equation clearly reflects a line that rises at a 45-degree angle (since the slope is 1) and crosses the y-axis at -1. Each unit you move to the right on the x-axis, the line moves up one unit on the y-axis, aligning with a slope of 1.

Thus, the correct representation of the line with these specific characteristics is indeed (y = x - 1).