Question

Point Slope Form : y - y1 = m(x- x1) Write the equation of the line described that passes through (-8,-5), parallel to y = -3x + 9

Answer 1

y + 5 = -3(x + 8)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Parallel Lines always have the same slope but different y-intercepts.

Explanation:

Step 1: Define

Given (Parallel Line): y = -3x + 9

Point (-8, -5)

Step 2: Find variables

Slope m of parallel lines = -3

Step 3: Find parallel line equation

y₁ = -5

x₁ = -8

m = -3

y + 5 = -3(x + 8)