Write the equation of the line described that passes through (12,-17), perpendicular to y = -3/7x - 5

y + 17 = 7/3(x - 12)

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

Perpendicular lines have the negative reciprocal slope of the given line's slope.

Step-by-step explanation:

Step 1: Define

Line: y = -3/7x - 5

Slope m = -3/7

Point (12, -17)

Step 2: Find slope of perpendicular line

Take the negative reciprocal of the original slope.

Slope m = 7/3

Step 3: Write perpendicular line equation

x₁ = 12

y₁ = -17

m = 7/3

y + 17 = 7/3(x - 12)