Respuesta :

Space

Answer:

5/3x - y = 5

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

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

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Standard Form: Ax + By = C

Step-by-step explanation:

Step 1: Define

Find points from graph.

x-int (3, 0)

y-int (0, -5)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{-5-0}{0-3}[/tex]
  2. Subtract:                       [tex]m=\frac{-5}{-3}[/tex]
  3. Simplify:                        [tex]m=\frac{5}{3}[/tex]

Step 3: Write Slope-Intercept Form

y = 5/3x - 5

Step 4: Find Standard Form

  1. Subtract 5/3x on both sides:          -5/3x + y = -5
  2. Multiply both sides by -1:                5/3x - y = 5

And we have our answer!

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