contestada

write an equation for the line passing through the given pair of points. give the final answer in standard form (-4,-2) and (3,-4).
the equation of the line in standard form is ____

Respuesta :

Space

Answer:

y = -2/7x - 22/7

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

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

Point (-4, -2)

Point (3, -4)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{-4+2}{3+4}[/tex]
  2. Add:                              [tex]m=\frac{-2}{7}[/tex]

Step 3: Find y-intercept b

  1. Define:                    y = -2/7x + b
  2. Substitute:              -4 = -2/7(3) + b
  3. Multiply:                  -4 = -6/7 + b
  4. Isolate b:                 -22/7 = b
  5. Rewrite:                   b = -22/7

Step 4: Write linear equation

y = -2/7x - 22/7

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