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Solve the following problem. Show your work if needed.
What is the slope of the line shown in the graph below?
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Formula Sheet
Algebra
Slope-Intercept Form
y = mx + bPoint-Slope Form
y - y₁ = m(x - x₁)Quadratic Formula
x = (-b ± √(b² - 4ac)) / 2aDistance Formula
d = √[(x₂ - x₁)² + (y₂ - y₁)²]Midpoint Formula
M = ((x₁ + x₂)/2, (y₁ + y₂)/2)Geometry
Area of Rectangle
A = lwArea of Triangle
A = ½bhArea of Circle
A = πr²Circumference of Circle
C = 2πrPythagorean Theorem
a² + b² = c²Volume of Rectangular Prism
V = lwhVolume of Cylinder
V = πr²hStatistics
Mean (Average)
x̄ = (Σx) / nSimple Interest
I = PrtProbability
P(E) = (favorable outcomes) / (total outcomes)Reference Sheet
Mathematical Symbols
≈approximately equal to≠not equal to≤less than or equal to≥greater than or equal to∞infinityπpi ≈ 3.14159√square root∛cube rootCommon Conversions
Length
1 foot = 12 inches
1 yard = 3 feet
1 mile = 5,280 feet
1 meter = 100 centimeters
1 kilometer = 1,000 meters
Area
1 square foot = 144 square inches
1 acre = 43,560 square feet
Volume
1 cup = 8 fluid ounces
1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts
1 liter = 1,000 milliliters
Weight
1 pound = 16 ounces
1 ton = 2,000 pounds
1 kilogram = 1,000 grams
Number Properties
Commutative Property
a + b = b + aa × b = b × aAssociative Property
(a + b) + c = a + (b + c)(a × b) × c = a × (b × c)Distributive Property
a(b + c) = ab + acIdentity Property
a + 0 = aa × 1 = aExponent Rules
aᵐ × aⁿ = aᵐ⁺ⁿaᵐ ÷ aⁿ = aᵐ⁻ⁿ(aᵐ)ⁿ = aᵐⁿa⁰ = 1a⁻ⁿ = 1/aⁿ