How does this change alter the market rate of substitution between goods X and Y?

A consumer must divide $600 between the consumption of product X and product Y. The relevant market prices are P_x = $10 and P_y = $40.

a. Write the equation for the consumer’s budget line.

Y = [removed]+ [removed]X

b. In the graph below, illustrate the consumer’s opportunity set.  Show as graficly

c. In the same graph, Illustrate the consumer’s opportunity set when the price of good X increases to $20.

How does this change alter the market rate of substitution between goods X and Y?

It changes from -2 to -4.

It changes from -0.5 to -0.25.

It changes from -0.25 to -0.5.

It changes from -4 to -2.