Question

Write the equation y+5=-10(x-1) into standard form

Answer 1

10x + y = 5

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

• x₁ - x coordinate

• y₁ - y coordinate

• m - slope

Standard Form: Ax + By = C

Explanation:

Step 1: Define

Point-Slope Form: y + 5 = -10(x - 1)

Step 2: Find Standard Form

1. Distribute -10: y + 5 = -10x + 10
2. Add 10x on both sides: 10x + y + 5 = 10
3. Subtract 5 on both sides: 10x + y = 5

And we have our final answer!