Answer:
Line a and Line b are parallel. The slopes are equal
Line b is perpendicular to line c. The slopes are different
Explanation:
The standard form of an equation is y =- mx+C
m is the slope
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1
For Line a: 4x-3y = 2
Rewrite
-3y = -4x+2
y = 4/3 x - 2/3
Slope of line a is 4/3
Line b: y = 4/3x + 2
mx = 4/3x
m = 4/3
slope of line b is 4/3
Line c = 4y+3x = 4
4y = -3x + 4
y = -3/4 x + 1
Slope of line c is -4/3
Since line a and b have the same slope, they arer parallel
mb * mc = 4/3 * -3/4
mb*mc = -1
Since the product of slope of line b and c is -1, they are perpendiclar