Question

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.

(−2, −4), (2, 0)

Answer 1

y = x - 2

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

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

Slope-Intercept Form: y = mx + b

• m - slope

• b - y-intercept

Explanation:

Step 1: Define

Point (-2, -4)

Point (2, 0)

Step 2: Find slope m

1. Substitute:
   `m=(0+4)/(2+2)`
2. Add:
   `m=(4)/(4)`
3. Divide:
   `m=1`

Step 3: Find y-intercept b

1. Substitute in m: y = x + b
2. Substitute in point: 0 = 2 + b
3. Isolate b: -2 = b
4. Rewrite: b = -2

Step 4: Write linear equation

Slope-Intercept Form: y = x - 2

And we have our final answer!