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Which is the slope of the line that passes through the points (4, 2) and (6, 7)?

Sagot :

Space

Answer:

[tex]\displaystyle m = 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

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

  • Coordinate (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (4, 2)

Point (6, 7)

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]:                                                              [tex]\displaystyle m = \frac{7 - 2}{6 - 4}[/tex]
  2. [Evaluations] Simplify:                                                                                       [tex]\displaystyle m = \frac{5}{1}[/tex]
  3. [Evaluations] Simplify:                                                                                      [tex]\displaystyle m = 5[/tex]
AbegaiI

Answer:

m = 5

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (4, 2)

Point (6, 7)

Step 2: Find slope m

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

  • Substitute in points [Slope Formula]:                                                              

[tex]\displaystyle m = \frac{7 - 2}{6 - 4}m=6−47−2[/tex]

  • [Evaluations] Simplify:                                                                                       

[tex]\displaystyle m = \frac{5}{1}m=15[/tex]

  • [Evaluations] Simplify:                                                                                      

[tex]\displaystyle m = 5m=5[/tex]

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