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Find an equation in​ point-slope form for the line having the slope m=1/4 and containing the point (−5,−4).

help meFind an equation in pointslope form for the line having the slope m14 and containing the point 54 class=

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Answer:

[tex]\displaystyle y + 4 = \frac{1}{4}(x + 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.

Point (-5, -4)

Slope m =  [tex]\displaystyle \frac{1}{4}[/tex]

Step 2: Find Equation

  1. Substitute in variables [Point-Slope Form]:                                                    [tex]\displaystyle y - -4 = \frac{1}{4}(x - -5)[/tex]
  2. [Order of Operations] Simplify:                                                                        [tex]\displaystyle y + 4 = \frac{1}{4}(x + 5)[/tex]

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