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What is an equation in point-slope form for the line that passes through the points (-3,5) and (2, -3)?
A) y - 3 = -(x + 5)
B) y – 5 = – (x + 3)
C) y - 5 = {(x + 3)
D) y – 3 = — ; (x + 5)

Respuesta :

Space

Answer:

y - 5 = -8/7(x + 3)

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]

Point-Slope Form: y - y₁ = m(x - x₁)  

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

Step-by-step explanation:

Step 1: Define

Point (-3, 5)

Point (2, -3)

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{-3-5}{2+5}[/tex]
  2. Subtract/Add:                      [tex]m=\frac{-8}{7}[/tex]

Step 3: Write Equation

Plug in variables into the general form.

y - 5 = -8/7(x + 3)

y + 3 = -8/7(x - 2)

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