Answer= y=2x+6
The slope-intercept form of an equation of a line: y=mx+b
m - slope
b - y-intercept
We have the points (5, -4) and (-1, 8). Substitute:
m=
=
=-2
Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line,
-4=-2(5)+b
=-10+b
6=b
y=2x+6