Question

Write an equation for the line passing through the given pair of points. give the final answer in standard form (-4,-2) and (3,-4).

the equation of the line in standard form is ____

Answer 1

y = -2/7x - 22/7

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

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 (-4, -2)

Point (3, -4)

Step 2: Find slope m

1. Substitute:
   `m=(-4+2)/(3+4)`
2. Add:
   `m=(-2)/(7)`

Step 3: Find y-intercept b

1. Define: y = -2/7x + b
2. Substitute: -4 = -2/7(3) + b
3. Multiply: -4 = -6/7 + b
4. Isolate b: -22/7 = b
5. Rewrite: b = -22/7

Step 4: Write linear equation

y = -2/7x - 22/7