Respuesta :

Answer:

Write the problem as a mathematical expression. (5,5), (5,−8)

Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept. To calculate the equation of the line, use the y=mx+b format.

Slope is equal to the change in y over the change in x , or rise over run.

m=(change in y)/(change in x)

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

m=(y2−y1) / (x2−x1)

Substitute in the values of x and y

into the equation to find the slope.

m=(−8−(5)) / (5−(5))

Finding the slope m.

Undefined

x=5

Step-by-step explanation:

Space

Answer:

m = undefined

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

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

Step-by-step explanation:

Step 1: Define

Point (5, 5)

Point (5, -8)

Step 2: Identify

(5, 5) → x₁ = 5, y₁ = 5

(5, -8) → x₂ = 5, y₂ = -8

Step 3: Find slope m

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

  1. Substitute in points [Slope Formula]:                                                             [tex]\displaystyle m=\frac{-8-5}{5-5}[/tex]
  2. [Slope] Subtract:                                                                                               [tex]\displaystyle m=\frac{-13}{0}[/tex]

Here we see that we have a number divided by 0. Since we know that we cannot divide any number by 0, our slope will be undefined. This will be a vertical line on a Cartesian plane of x = 5.

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