Question

write the equation in point-slope form. the line perpendicular to 2x-4y=8 passing through the point (1,-2)

Answer 1

first you need the slope. the slope of
\[2x-4y=8\] is \[\frac{1}{2}\] so slope of perpendicular line will be -2

Answer 2

then use 'point slope" formula
\[y-y_1=m(x-x_1)\] with
\[m=-2, x_1=-,y_1=-2\] to get
\[y+2=-2(x-1)\]

Answer 3

multiply and get
\[y+2=-2x+2\]
\[y=-2x\]