Question

What is the slope-intercept form of the linear equation x+4y=12?

Answer 1

we know that

The equation of the line in the slope-intercept form is equal to

we have

Solve for y

Subtract both sides

Divide by both sides

therefore

the answer is

Y= 1/4x+3

Answer 2

y = -x/4 + 3

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Explanation:

Step 1: Define

Standard Form: x + 4y = 12

Step 2: Rewrite

Find slope-intercept form

1. Subtract x on both sides: 4y = 12 - x
2. Divide 4 on both sides: y = 3 - x/4
3. Rearrange: y = -x/4 + 3