Question

Slope-intercept form of the equation of the line that is perpendicular to -2x + 3y = 10 and contains P(10,-10)

Answer 1

Slope intercept: y = mx + b
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
-10 = -3/2(10) + b
-10 = -15 + b, b = 5
Equation: y = -3/2x + 5