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

Answer:

y = x - 2

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

• m - slope

• b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (2, 0)

Step 2: Find slope m

1. Substitute:                    $m=\frac{0+4}{2+2}$
2. Add:                              $m=\frac{4}{4}$
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!