First, find the slope
slope = rise / run
slope = (y2 - y1) / (x2 - x1)
slope = (2 - 6) / (-1 - 4)
slope = (-4) / (-5)
slope = 4/5
.
Next, find point slope form
Point slope form:
y - y1 = m(x - x1)
y - 6 = (4/5)(x - 4)
.
Move stuff around to get slope intercept form
y - 6 = (4/5)(x - 4)
y - 6 = (4/5)x - 16/5
y = (4/5)x - 16/5 + 6
y = (4/5)x - 16/5 + 30/5
y = (4/5)x + 14/5
That's slope intercept form.
The slope is 4/5.
The y intercept is 14/5.