Answer-
Equation for this situation,
[tex]\boxed{\boxed{y=20-2x}}[/tex]
Solution-
The total amount of money that Robert has = $50
Price of each slice of pizza = $5
Price of each game = $[tex]\dfrac{5}{2}[/tex]= $2.5
Let x = number of pizza he can buy, and y = number of game he can play
So,
[tex]\Rightarrow (5\times x)+(2.5\times y)=50[/tex]
[tex]\Rightarrow 5x+2.5y=50[/tex]
[tex]\Rightarrow 2.5y=50-5x[/tex]
[tex]\Rightarrow y=\dfrac{50-5x}{2.5}=\dfrac{50}{2.5}-\dfrac{5x}{2.5}[/tex]
[tex]\Rightarrow y=20-2x[/tex]
Plotting the graph we get the intercepts as,
x- intercepts = 10
y- intercepts = 20
x- intercepts is the point where, y=0, so in this case if does not play any game he can buy 10 slices of pizza.
y- intercepts is the point where, x=0, so in this case if he does not eat any pizza he can play 20 games.
