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Find the equation of the line that cuts through (0,5) and (1, 2)? a. y=-3x + 5 b. y = 3x + 5 c. y = -5x + 3 d. Y = -1/3x + 5. Please select the best answer from the choices provided A B C D.​

Respuesta :

Space

Answer:

a. y = -3x + 5

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

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

Step-by-step explanation:

Step 1: Define

y-intercept (0, 5)

Point (1, 2)

Step 2: Find slope m

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

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

Step 3: Write Equation

Plug in variables into the general form.

y = -3x + 5

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