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Write the equation in point-slope form of the line that passes through the given point with the given slope.
m= -1
The equation of the line is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)

Write the equation in pointslope form of the line that passes through the given point with the given slope m 1 The equation of the line is Simplify your answer class=

Respuesta :

Space

Answer:

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

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)

Point-Slope Form: y - y₁ = m(x - x₁)

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

Step-by-step explanation:

Step 1: Define

Identify variables.

Slope m = -1

Point  [tex]\displaystyle (-\frac{1}{5} ,\ 5)[/tex]

Step 2: Find Equation

  1. Substitute in variables [Point-Slope Form]:                                                    [tex]\displaystyle y - 5 = -(x - -\frac{1}{5})[/tex]
  2. [Order of Operations] Simplify:                                                                        [tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]

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