Answer:
Perpindicular
Explanation:
Solve each equation for y, or point Slope form.
y = mx + b
4y = 3x - 4 divide both sides by 4 to isolate the y.
y = 3/4x - 1
The second equation.
4x + 3y = - 6 subtract 4x from both sides
3y = -4x - 6 divide both sides by 3
y = -4/3 - 2
If you visualize line 1 having a Slope of 3/4, that is, for every 4 we move in the positive x direction, y will increase by 3, it slopes up from left to right crossing the y axis at (0,-1). The second line moves 3 in the positive x direction and decreases in y by 4, it slopes down from left to right crossing the y axis at (0,-2}.
Because the two lines have negative inverse slopes they are perpendicular. 3/4x and - 4/3x