Write an equation in slope-intercept (3,1) (1,-3)

Answer 1

The slope of the line passing through those points is m = (-3 - 1) / (1 - 3) = -4/-2 = 2.

Using that slope and the point (3,1) in the point-slope form for a linear equation:

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5 (slope-intercept form--y intercept is at (0,-5)).

desmos.com/calculator/cquq1fefpt

The above graph shows how to name points on Desmos, and calculates the slope using the coordinates of those points.