All About Formulas
Slope, Slope, and More Slope
X and Y Intercepts
Slope-Intercept form
Point-Slope Form
Word Problems
100
This phrase is used when graphing slope.
Rise/Run
100
What is the Slope of the Graph?
m = 0
100
What is the Y-Intercept of the following Equation?
y = -10x + 25
25
100
Write in Slope-Intercept Form given the following information:
Slope = 3/5
Y-Intercept = -10
y=3/5x-10
100
Write the linear equation in Point-Slope form: Slope=-7 ; (4,2)
y-2 = -7(x-4)
100
You go to the Movie Theater to see the new MCU Movie. To get into the movie, it costs 9 dollars. You also want to buy some items in the concession stand. Each item costs 4 dollars. You want to buy popcorn, an Icee, M&Ms, Sour Patch Kids, and Twizzlers. Write and Solve a linear equation to figure out how much this trip will cost you.
Equation: y = 4x+9
Total Cost = $29
200
Write out the Slope Formula.
200
What is the Slope of the Line?
m = Undefined
200
Identify the X-Intercept on the Graph
x = 10
200
Write in Slope-Intercept Form given the following information:
Slope = -2
Y-Intercept = 0
y = -2x
OR
y = -2x + 0
200
Write the equation in slope intercept form: slope=4 and (-2,-5) is on the line
y+5 = 4(x+2)
200
If you buy a car wash at the gas station for $5.00, the cost per gallon is $1.10. If you have $40, write and solve a linear equation to find the number of gallons of gas you can afford.
Equation: y = 1.10x + 5.00
Number of Gallons: 31.81 or 31.82
300
What is slope intercept form?
y=mx+b
300
Find the slope of the graph:
m = -4/4 = -1
300
Find the x and y intercepts of 3x+4y=24
x=8 and y=6
300
Graph the equation: y= 4x-3
See graph
300
Write this equation in slope intercept form: slope=-4, (-1,-2)
Slope intercept: y=-4x -6
300
Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth's 9th birthday, the total population was nearly 307,650. Write and solve a linear equation to find the population on Beth's 21st birthday.
Equation: y-307,650 = 850(x-9)
Population on Beth's 21st Birthday = 317,850 People
400
What is the Point-Slope Formula?
y-y1=m(x-x1)
400
Find the slope of (4,-2) and(-1,2)
What is -4/5
400
Find the x and y intercepts of 3x- 2y=12
x=4 and y=-6
400
Write the linear equation in slope-intercept form given the graph:
y = -2/3x+1
400
Write the equation in Point-Slope form: (-4,-6) and (3,8)
y+6 = 2(x+4)
400
An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute call to France costs $4.29. Write and solve a linear equation to find the cost of a 30 minute call to France.
Equation: y-3.19 = .22(x-10)
Cost for a 30-minute call = $7.59
500
What is the standard form of a linear equation?
Ax+By=C
500
Find the slope of (20,3000) and (60,2000)
What is -25
500
Find the x and y intercepts of 2x + 4y=8. Then graph it
x=4 and y=-2
500
Graph the equation: y = -6/5x +4
(Check Graph)
500
Write the equation in slope intercept form: (1,-4) and (3,2)
slope intercept: y=3x -7
500
You are in charge of buying the hotdogs and hamburgers for a party. The hotdogs cost $2 per pound and the hamburgers are $3 per pound. You have $120 to spend. Write and solve a linear equation to find how much hamburger you can afford if you buy 30 pounds of hot dogs.
Equation: 2x + 3y = 120
Number of pounds of hamburger meat = 20