In a stardard slope-intercept formula:
m = represents the slope
b = represents the y-intercept
From the given function, let's first arrange it into a standar slope-intercept form.
g(x) = 3 - 4x
g(x) = -4x + 3
We get,
m = -4
b = 3
As an ordered pair,
Slope = m = -4
Y-intercept = b = 0, 3
At y-intercept, x = 0