Graphing Slope-Intercept Form
Graph y = 2x + 3
y-intercept: (0,3)
slope: 2/1
Graph y - 1 = 2 (x - 3)
point: (3,1)
slope: 2/1
Graph 2x + 3y = 6
x-intercept: (3,0)
y-intercept: (0,2)
A cell phone plan costs 50 per month plus 0.10 per text message. Write the equation.
y = 0.10x + 50
A 100-point test has x questions worth 2 points each and y questions worth 4 points each. Write the equation.
2x + 4y = 100
Graph y = -1/2x - 4
y-intercept: (0,-4)
slope: -1/2
Graph y + 4 = -3 (x - 1)
point: (1,-4)
slope: -3/1
Graph x - 4y = 8
x-intercept: (8,0)
y-intercept: (0,-2)
A taxi charges 3 for the first mile and 2 for each additional mile. Write the equation.
y = 2x + 3
The sum of two numbers is 50. Write the equation.
x + y = 50
Graph y = 3x
y-intercept: (0,0)
slope: 3/1
Graph y - 2 = 1/2 (x + 4)
point: (-4,2)
slope: 1/2
Graph 3x + 2y = 12
x-intercept: (4,0)
y-intercept: (0,6)
A gym membership has a 30 sign-up fee and costs 20 per month. Write the equation.
y = 20x + 30
Mrs. Z. bought 4 sandwiches and 3 salads for her family, and paid $24 in total. Write the equation.
x = cost of sandwiches, y = cost of salads
4x + 3y = 24
Graph y = -2x + 1
y-intercept: (0,1)
slope: -2/1
Graph y + 3 = -1/3 (x - 5)
point: (5,-3)
slope: -1/3
Graph 5x - y = 10
x-intercept: (2,0)
y-intercept: (0,-10)
A plant is 10 cm tall and grows 2 cm per week. Write the equation.
y = 2x + 10
Sam ordered two hamburgers and three hot dogs from the concession stand at the baseball game. His bill came to $19.05. Write the equation.
x = cost of hamburgers, y = cost of hot dogs
2x + 3y = 19.05
Graph y = 3/4x - 2
y-intercept: (0,-2)
slope: 3/4
Graph y - 6 = 3/5 (x + 2)
point: (-2,6)
slope: 3/5
Graph x + y = 5
x-intercept: (5,0)
y-intercept: (0,5)
A car rental costs 40 per day plus 0.15 per mile driven. Write the equation
y = 0.15x + 40
The total cost of 3 books and 4 notebooks is $60. Write the equation.
x = cost of books, y = cost of notebooks
3x + 4y = 60