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lisov135 [29]
3 years ago
10

Which equation is shown on the graph?    

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0
y=mx+b\\\\A(0;\ 2);\ B(-2;\ 0)\\\\for\ x=2\to y=2\\\\substitute:m\cdot0+b=2\to b=2\\\\y=mx+2\\\\for\ x=-2\to y=0\\\\substitute:-2m+2=0\to-2m=-2\ \ \ /:(-2)\to m=1\\\\Answer:y=x+2\ (B)
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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS<u> </u>

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 5)

Point (-3, 7)

<u>Step 2: Identify</u>

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

<u>Step 3: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{7-5}{-3-2}
  2. [Slope] [Fraction] Subtract:                                                                             \displaystyle m=\frac{2}{-5}
  3. [Slope] [Fraction] Rewrite:                                                                              \displaystyle m=\frac{-2}{5}
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