Question

Write the equation in point-slope form of the line that passes through the given point with the given slope.

m= -1
The equation of the line is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)

Answer 1

`\displaystyle y - 5 = -(x + (1)/(5))`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Coordinate Planes

• Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

• x₁ - x coordinate
• y₁ - y coordinate
• m - slope

Explanation:

Step 1: Define

Identify variables.

Slope m = -1

Point
`\displaystyle (-(1)/(5) ,\ 5)`

Step 2: Find Equation

1. Substitute in variables [Point-Slope Form]:
   `\displaystyle y - 5 = -(x - -(1)/(5))`
2. [Order of Operations] Simplify:
   `\displaystyle y - 5 = -(x + (1)/(5))`