Question

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2)

Answer 1

y = -2x + 2

General Formulas and Concepts

Pre-Alg

• Order of Operations: BPEMDAS

Algebra I

Slope-Intercept Form: y = mx + b

• m - slope

• b - y-intercept

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

Explanation:

Step 1: Define

Point (-1, 4)

y-intercept (0, 2)

Step 2: Find slope m

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

Step 3: Write linear equation

y = -2x + 2