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9966 [12]
2 years ago
15

What is the slope of the line shown​

Mathematics
2 answers:
katovenus [111]2 years ago
7 0

Answer:

-1/2

Step-by-step explanation:

Pick two points on the line

(-2,3) and (2,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-3)/(2 - -2)

   = (1-3)/(2+2)

    = -2/4

   = -1/2

EastWind [94]2 years ago
7 0

Answer:

\displaystyle m = \frac{-1}{2}

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> </u>

<u>Algebra I</u>

  • Reading a coordinate plane
  • Coordinate (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify points from graph</em>

Point (0, 2)

Point (4, 0)

<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{0-2}{4-0}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{-2}{4}
  3. [Fraction] Simplify:                                                                                            \displaystyle m = \frac{-1}{2}
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=============================================

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

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The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

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