5. Susan has an income of $10. She buys cherries for $2 a pound and grapes for $4 a pound. Write the equation for her budget line and sketch the line with cherries on the y-axis. What is its slope

2y + 4x = 10

Slope = -2

Step-by-step explanation:

x: quantity of grapes

y: quantity of cherries

2y + 4x = 10

Graph will be a straight line with the following intercepts:

x = 0, 2y + 0 = 10 y = 5 (0,5)

y = 0, 0 + 4x = 10 x = 2.5 (2.5,0)

Sketch: a straight line joining (2.5,0) and (0,5)

2y + 4x = 10

2y = -4x + 10

y = -2x + 2.5

Slope = -2