A game center has a $5 admission fee (this is the y-intercept of the equation)
It charges $0.50 for each game played (this is the slope of the equation)
The equation can be written as

Where y is the cost and x is the number of games played.
To plot the graph, you can either find some (x, y) coordinates using the above equation.
Or you can plot it using the concept of slope and y-intercept.
Start at the point of y-intercept (0, 5)
The slope is 0.50 = 1/2
Then go 1 unit up and two units to the right that is your next point.
Repeat the same, 1 unit up and two units to the right that is your next point and so on...
Let us plot the graph
Scale: one small box = 1 unit
x-axis = number of games
y-axis = Cost ($)
Answer:
x = 2
Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

→ Expand the brackets

→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

⇒ Substitute in the values

⇒ Simplify

⇒ Simplify further

0 = 0
The solution x = 2 is correct
The answer to your question is skew lines