Question

I need help, with an step by step explanation please if possible!!

Answer 1

M(x,y):-

`\\ \rm\Rrightarrow \left((2+4)/(2),(5+9)/(2)\right)`

`\\ \rm\Rrightarrow \left((6)/(2),(14)/(2)\right)`

`\\ \rm\Rrightarrow (3,7)`

Equation of L

• y=2x+1
• Slope=m=2

Slope of the perpendicular line=-1/2

Equation of the perpendicular line

`\\ \rm\Rrightarrow y-y_1=m(x-x_1)`

`\\ \rm\Rrightarrow y-7=-1/2(x-3)`

`\\ \rm\Rrightarrow 7-y=1/2(x-3)`

`\\ \rm\Rrightarrow 14-2y=x-3`

`\\ \rm\Rrightarrow x+2y-17=0`