1)
y = 4x - 6 ;this line has slope m = 4
x + 4y = 8
4y = -x + 8
y = -1/4 x + 2 ;This line has slope m = -1/4
Perpendicular lines, slope is opposite and reciprocals. In this case, slope of line two is opposite and reciprocal of line one. So both lines are perpendicular
Answer
B. They are perpendicular
2)
3y = -x + 4
y = -1/3 x + 4/3 this line has slope m = -1/3
2x+6y = -12
6y = -2x - 12
y = -1/3 x - 2, this line has slope m = -1/3
Both lines have same slope as -1/3 so they are parallel.
Answer:
A. They are parallel