Question

Write an equation of the line passing through the points (4.15) and (-1. - 15).

Answer 1

y = 6x - 9

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, 15)

Point (-1, -15)

Step 2: Find slope m

1. Substitute:
   `m=(-15-15)/(-1-4)`
2. Subtract:
   `m=(-30)/(-5)`
3. Divide:
   `m=6`

Step 3: Find y-intercept b

1. Define: y = 6x + b
2. Substitute: -15 = 6(-1) + b
3. Multiply: -15 = -6 + b
4. Isolate b: -9 = b
5. Rewrite: b = -9

Step 4: Write linear equation

Substitute in all variables.

y = 6x - 9

And we have our answer!