Answer:
-2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where y is the variable on the vertical axis, x is the variable on the horizontal axis, m is the slope of the line = change in vertical axis / change in horizontal axis, b is the y intercept.
Given that the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis. Therefore let y represent the quantity of bananas and x represent the quantity of apples. The price of banana is $0.75 while that of apple is $1.50, Hence:
0.75y + 1.5x = 12
0.75y = -1.5x + 12
y = -2x + 16
Hence comparing with y = mx + b, the slope of the budget line is -2