Write the equation of the line that passes through the points (-6, -9) and
(7,7). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.

Respuesta :

Space

Answer:

y - 7 = 16/13(x - 7)

General Formulas and Concepts:

Alg I

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

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

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-6, -9)

Point (7, 7)

Step 2: Find slope m

  1. Substitute:                   [tex]m=\frac{7+9}{7+6}[/tex]
  2. Add:                             [tex]m=\frac{16}{13}[/tex]

Step 3: Write equation

y - 7 = 16/13(x - 7)