Answer:
y = -1/3x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Perpendicular lines have the negative reciprocal slope of the original.
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3x - 11
Point (-6, 4)
<u>Step 2: Find slope </u><em><u>m</u></em>
Negative Reciprocal of 3 = -1/3
<u>Step 3: Define</u>
y = -1/3x + b
<u>Step 4: Find y-intercept </u><u><em>b</em></u>
- Substitute in point: 4 = -1/3(-6) + b
- Multiply: 4 = 2 + b
- Subtract 2 on both sides: 2 = b
- Rewrite: b = 2
<u>Step 5: Write perpendicular linear equation</u>
y = -1/3x + 2