Write a linear equation in slope intercept form for each of the following:

A line perpendicular to y=x+2 that passes through the origin.

A line perpendicular to y = -1/2x + 5 that passes through the points (4,1) and (1,-5).

A line that is the perpendicular bisector of a segment whose endpoints are (3,5) and (7,1).

1 answer

determine the slope of the line you want
use point-slope form
convert to slope-intercept

#2 is thus
slope of given line is -1/2
perp. line has slope 2
y-1 = 2(x-4)
y = 2x-7
Luckily, that line also passes through (1,-5)