Question

Which line passes through the point (2,6) and is perpendicular to the line y=1/3×+2?

Answer 1

`\begin{gathered} \text{if the lines are perpendicular, the product of the slopes is -1} \\ m*(1)/(3)=-1 \\ m=-3 \\ \\ y=-3x+b \\ \\ \text{ since (2,6) is on the line} \\ 6=-6(2)+b \\ 6=-12+b \\ 6+12=b \\ b=18 \\ \\ \text{ the equation is } \\ y=-3x+18 \end{gathered}`