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Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.

(−2, −4), (2, 0)

1 Answer

4 votes

Answer:

y = x - 2

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

Slope Formula:
m=(y_2-y_1)/(x_2-x_1)

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Explanation:

Step 1: Define

Point (-2, -4)

Point (2, 0)

Step 2: Find slope m

  1. Substitute:
    m=(0+4)/(2+2)
  2. Add:
    m=(4)/(4)
  3. Divide:
    m=1

Step 3: Find y-intercept b

  1. Substitute in m: y = x + b
  2. Substitute in point: 0 = 2 + b
  3. Isolate b: -2 = b
  4. Rewrite: b = -2

Step 4: Write linear equation

Slope-Intercept Form: y = x - 2

And we have our final answer!

User Notalentgeek
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