Question

What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?

Answer 1

y + 1 = -3(x - 10)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

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

Explanation:

Step 1: Define

Slope m = -3

Point (10, -1)

• x₁ = 10
• y₁ = -1

Step 2: Write Function

Substitute in variables into general form.

y - -1 = -3(x - 10)

y + 1 = -3(x - 10)