So here we first want to put each equation into slope-intercept form.
\(y-1=(x+2)\\
y=x+3\\\\
y + 2 = -3(x - 4)\\
y=-3x+12-2\\
y=-3x+10\\\\
y - 5 = 3(x + 11)\\
y=3x+33+5\\
y=3x+38\\\\
y = -3x - \\
y=-3x\\\\
y = x - 2\\\\
3x + y = 7\\
y=-3x+7\)
Since when two slopes are perpendicular they equal -1 when multiplied to one another and in slope-intercept form where y = mx + b and m is slope,
Thus you can set up this equation:
1 * m = -1
m = -1
So the slope of the perpendicular line is -1. Now you just look through the equations and find which ones have a slope of -1.
The other lines with that line are: -- Actually none of them have that slope. So you don't click any of them.
Sorry if this took too long, it was a LOT to type out ,:D
