First you’ll need to find ‘m’, or the slope of the line.
M = (y-y1) / (x-x1)
Plug in your two points, (0,-5) and (4,1).
x1 y1 x y
M = ( 1 - (-5) ) / ( 4 - 0 )
M = ( 6 ) / ( 4 )
Your slope is 6/4.
Point slope form is y - y1 = m ( x - x1 )
Plug in your points that are x1 y1, (0,-5).
x1 y1
Plug in m (6/4)
y - y1 = m ( x - x1 )
y - (-5) = 6/4 ( x - 0 )
Final Answer:
y + 5 = 6/4 ( x - 0 )