Slope Intercept FormCommon Core Math 1
Slope Intercept Form:
Ex1:Write an equation given the slope and the y-intercept.
a)Slope is 3 and y-intercept is 5
b)Slope is -2 y-intercept is -7
c)m = -3 and b = 4
d)m = 5 and b = -1
Ex2: Write an equation of a line given a graph.
a)
b)
c)
d)
e)
f)
Slope Intercept Word Problems:
m: Slopeb: y-intercept
Ex3: Word Problems. For each of the following problems do the following:
i. Identify/create the function rule
ii. Explain in a sentence what each piece of the function rule means.
iii. Create a table of values
iv. Create a Next/Now equation to represent the situation.
a) To rent a canoe you must pay an initial fee plus $10 per hour. You can model the cost of renting a canoe by the following equation y = 10x + 25.
b) Ms. Hernandez’s car broke down. The auto repair shop uses the following equation as a way to charge customers C = 50 + 25h.
c) A candle is 6 inches tall and burns at a rate of inch per hour.
d) A computer is purchased for $1,200 and depreciates at $140 per year. Write a linear equation that represents the value , V, of the computer at the end of t years?
e) Jim is selling hot dogs at a ball game. It cost Jim $250 to purchase everything to make hot dogs. Jim sells hot dogs for $2 each. If he sells h hot dogs, write an equation that models his profit.
Ex 4: Rewrite the following equations into slope intercept form *solve for y*
a) b)
c) d)
e)
f)
Ex 5: i. Rewrite the following equations into slope intercept form.
ii. Create a table of values
iii. Create a Next/Now equation to represent the situation.
iv. Create your own real-life situation that accurately uses the numbers in the equation.
a) b)
c) d)
e)
f)
Homework:
Shayley just bought a new phone with a new minutes plan. She can calculate her phone bill using the following equation y = 0.10x + 35. What does the 0.10 represent? What does the 35 represent?
Suppose you have already saved $50 toward the cost of a new television set. You plan to save $5 more each week for the next several weeks. Write an equation for the total amount T you will have w weeks from now. Find the total amount saved after 7 weeks.
The following equation is used to determine the temperature T as the hours h go by at night T = -2h + 15. What does the -2 represent? What does the 15 represent?
To rent a bicycle it costs $20 plus $2 per hour. Write an equation to represent the cost of renting a bicycle.
Slope Intercept FormCommon Core Math 1