To get the slope-intercept form of the line that passes through (1, -5) and (5, -1). You first have to find the slope. The formula for slope is y2 - y1/x2 - x1. For this question, the slope would be 1.After that, substitute the slope and one of the points into the slope intercept form, y = mx + b. Then, solve for b or the y-intercept. Finally, put the slope and y-intercept into slope-intercept form.