You go to an arcade and purchase a card with game credits. after playing 5 games you have 33 credits left. you play 4 more games and you have 21 credits left. write an equation that represents the number of credits y on the cards after x games.

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: , where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: ,

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

Therefore, our desired equation will be .

the answer is 40.

proof:

5

step-by-step explanation: