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Use the coordinates of the labeled point to find the point-slope equation of

the line.
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Use the coordinates of the labeled point to find the point-slope equation of the line-example-1
User Hassan
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1 Answer

3 votes

Answer:

A. y + 5 = -4(x - 2)

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

Point-Slope Form: y - y₁ = m(x - x₁)

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Explanation:

Step 1: Define

Find points from graph.

y-intercept (0, 3)

Point (2, -5)

Step 2: Find slope m

  1. Substitute [SF]:
    m=(-5-3)/(2-0)
  2. Subtract:
    m=(-8)/(2)
  3. Divide:
    m=-4

Step 3: Write equation

Substitute variables into general form.

y + 5 = -4(x - 2)

y - 3 = -4(x - 0)

User Hugodby
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