Final answer:
To find the equation of a line with an x-intercept of -1 and a y-intercept of 1, we use the slope-intercept form. The slope is calculated using the points (0,1) and (-1,0), resulting in a slope of 1. Hence, the equation is y = x + 1.
Step-by-step explanation:
The requested line would have an x-intercept of -1 and a y-intercept of 1.
To find the equation of such a line, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. Since we know the y-intercept (b = 1), we just need to find the slope (m).
We can use the point (0,1) for the y-intercept and (-1,0) for the x-intercept to calculate the slope.
The slope formula is m = (y2 - y1) / (x2 - x1).
Substituting the points into the formula gives us m = (0 - 1) / (-1 - 0) = 1.
Therefore, the slope of our line is 1.
The equation of the line with x-intercept of -1 and y-intercept of 1 is y = x + 1.