Question

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.

Answer 1

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

Explanation:

Step 1: Define

Point (-6, -9)

Point (7, 7)

Step 2: Find slope m

1. Substitute:
   `m=(7+9)/(7+6)`
2. Add:
   `m=(16)/(13)`

Step 3: Write equation

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