Answer:
q = 3.
Step-by-step explanation:
They are perpendicular so the product of their slopes = -1.
3x + 4y + 6 = 0
4y = -3x - 6
y = -3/4 x - 3/2
- so the slope of this line is -3/4 which makes the slope of the other line equal to - / -3/4 = 4/3.
4x - qy = -3
-qy = -4x - 3
qy = 4x + 3
y = 4/q x + 3/q
So as the slope is 4/3, we have:
4/q = 4/3
Therefore q = 3.
Answer:
The value of q is 3
Step-by-step explanation:
Line 1
3x + 4y + 6 = 0
3x + 4y = -6
4y = -3x - 6
y = -3x/4 - 6/4
Equation of a line is given as y = mx + c
m1 (gradient of line 1) = -3/4
Line 2
4x - qy + 3 = 0
-qy = -4x - 3
y = 4x/q + 3/q
m2 (gradient of line 2) = 4/q
For two lines to be perpendicular, the product of their gradients must be -1, that is, m1m2 = -1
m1m2 = -1
-3/4 × 4/q = -1
-3/q = -1
q = -3/-1 = 3
