Question

Write the equation

Has slope of -1/7 and goes through the point (14,-5) in point-slope form.

Answer 1

`\displaystyle y + 5 = (-1)/(7)(x - 14)`

General Formulas and Concepts:

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.

Slope m =
`\displaystyle (-1)/(7)`

Point (14, -5)

Step 2: Write Equation

1. Substitute in variable [Point-Slope Formula]:
   `\displaystyle y - -5 = (-1)/(7)(x - 14)`
2. Simplify:
   `\displaystyle y + 5 = (-1)/(7)(x - 14)`