Question

find the equation of the line passing through the point (1,1/2) and perpendicular to the line y+4x=6

Answer 1

\[y+4x=6\]
\[y=-4x+6\]
\[m=-4\]
\[m_{p}=\frac{1}{4}\]
\[y-y_{1}=m_{p}(x-x_{1})\]
\[(x_{1}, y_{1})=(1,\frac{1}{2})\]
\[y-\frac{1}{2}=\frac{1}{4}(x-1)\]

Answer 2

m is the gradient of the line you were given. "mp" is the gradient perpendicular to that line.

Answer 3

You can finish that off.

Answer 4

@alberto123456 Mate, you going to finish that off or just keep bumping the thread?