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lesantik [10]
3 years ago
12

Find the slope of the line going through the points (0, -5) and (-2,1)

Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

\displaystyle m=-3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

<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 (0, -5)

Point (-2, 1)

<u>Step 2: 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{-5-1}{0--2}
  2. [Fraction - Denominator] Simplify:                                                                \displaystyle m=\frac{-5-1}{0+2}
  3. [Fraction - Numerator] Subtract:                                                                     \displaystyle m=\frac{-6}{0+2}
  4. [Fraction - Denominator] Add:                                                                      \displaystyle m=\frac{-6}{2}
  5. [Fraction] Divide:                                                                                             \displaystyle m=-3
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Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

The equations given in the problem are the linear equations.

<h3>Linear equation</h3>

Linear equation are the equation which has the highest power of the unknown variable is 1.

Given-

1) The given expression in the problem is,

f(x)=7x-14

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Hence the given equation is equivalent to the option 1.

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Thus the given equation is equivalent to the option 2.

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f(x)=7x-14

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Rewrite the equation,

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