OK, RP....you have already done this without realizing it...
Slope of given line = -4 point ( 1, -2)
y = slope ( x - x coordinate) + y coordinate
y = -4 ( x - 1) + (-2)
y = -4x + 4 - 2
y = -4x + 2
Let's write the equation we are looking for as
y= mx + b the slope of the original equation is -4
y=-4x + b Substitute in the point 1,-2 to calc 'b'
-2 = -4(1) + b
2=b
so y = -4x + 2