Answer:
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.
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)