b) If the line is parallel, that means the slope is the same.
The slope for the original line is [tex] \frac{-1-0}{6-2} [/tex] = [tex] \frac{-1}{4} [/tex].
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.
c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.
