Question

What is the slope for these cordinates


(-8,11) , (17,4)

Answer 1

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We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).

The standard formula to calculate slope is given by,

`:\implies\footnotesize\rm{Slope = (y_2 - y_1)/(x_2 - x_1) }`

`:\implies\footnotesize\rm{Slope = (4 - 11)/(17 - ( - 8)) }`

`:\implies\footnotesize\rm{Slope = ( - 7)/(17 + 8) }`

`:\implies\footnotesize\rm{Slope = ( - 7)/(25) }`

• The slope is -7/25.

Answer 2

`\displaystyle m = (-7)/(25)`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Coordinate Planes

• Coordinates (x, y)

Slope Formula:
`\displaystyle m = (y_2 - y_1)/(x_2 - x_1)`

Explanation:

Step 1: Define

Identify.

Point (-8, 11)

Point (17, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

1. Substitute in points [Slope Formula]:
   `\displaystyle m = (4 - 11)/(17 - -8)`
2. [Order of Operations] Evaluate:
   `\displaystyle m = (-7)/(25)`