The equation of a straight line can be written as
y = mx + c
where
m = slope
c represents y intercept
The y intercept is the point where the line cuts the y or vertical axis
From the given equation,
12 = 3x + 4y
4y = - 3x + 12
y = - 3x/4 + 12/4
y = - 3x/4 + 3
thus, y intercept = 3
The graphs whose y intercept is 3 are the first and second graphs. Since the slope of the equation is negative(- 3/4), the line would slide downwards. Thus, the correct option is the first graph
