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write the equation


Has slope of -1/7 and goes through the point (14,-5) in point-slope form.

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Space

Answer:

[tex]\displaystyle y + 5 = \frac{-1}{7}(x - 14)[/tex]

General Formulas and Concepts:

Algebra I

Coordinate Planes

  • Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

Step 1: Define

Identify.

Slope m =  [tex]\displaystyle \frac{-1}{7}[/tex]

Point (14, -5)

Step 2: Write Equation

  1. Substitute in variable [Point-Slope Formula]:                                                 [tex]\displaystyle y - -5 = \frac{-1}{7}(x - 14)[/tex]
  2. Simplify:                                                                                                             [tex]\displaystyle y + 5 = \frac{-1}{7}(x - 14)[/tex]
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