Using point-slope form, write the equation of the line that describes this scenario. Then, rewrite the equation in slope-intercept form.
In order to enter the state fair, there is an admission cost. Each game is $3. Steven went to the state fair, played 4 games and spent a total of $20 on admission and games.
1. Point-Slope Form Equation:
2. Slope-Intercept Form Equation:
1. Point-Slope Form Equation:
Let (x, y) represent the number of games Steven played and the amount of money he spent, respectively. We know that one point on the line is (4, 20) since Steven played 4 games and spent $20. The slope of the line represents the cost per game, which is $3.
Using the point-slope form equation, we have:
y - y1 = m(x - x1)
y - 20 = 3(x - 4)
2. Slope-Intercept Form Equation:
To rewrite the equation in slope-intercept form, we need to solve for y:
y - 20 = 3x - 12
y = 3x - 12 + 20
y = 3x + 8