Question

find the equation of the line having the given slope containing the given point m=-4, (3,9)

Answer 1

\[\Large y = mx+b\]


\[\Large 9 = \left(-4\right)\left(3\right)+b\]


\[\Large 9 = -12+b\]


\[\Large 9+12 = b\]


\[\Large 21 = b\]


\[\Large b = 21\]


So the equation of the line is \[\Large y = -4x+21\]