Question

Complete the point-slope equation of the line through (-9,6) and (-7,-8)

use exact numbers

y-6=

Answer 1

y - 6 = -7(x + 9)

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

Point (-9, 6)

Point (-7, -8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

1. Substitute [SF]:
   `m=(-8-6)/(-7+9)`
2. Subtract/Add:
   `m=(-14)/(2)`
3. Divide:
   `m=-7`

Step 3: Find Equation

Plug in variables into the general form.

y - 6 = -7(x + 9)