Question

Write an equation in standard form for a line that is perpendicular to the line with an equation of y=3x-5 that passes through the point (8,5)

Answer 1

`gradient \: of \: y = 3x - 5 \: is \: 3 \\ m = 3 \\ for \: perpendicular \: m {}^(.) * m = - 1 \\ 3m {}^(.) = - 1 \\ m {}^(.) = - (1)/(3) \\ from \: \: y = mx + c \\ at \: (8,5) \: \: 5 = - (1)/(3) * 8 + c \\ c = - (15)/(8) \\ hence \: \: y = - (1)/(3) x - (15)/(8)`