Answer:
2. x - 4y = 20
Step-by-step explanation:
1. Reason 2: Multiplying -2 with the bracket term in the left-hand side,
This is the Distributive property of multiplication.
Reason 3: Addition of 4x with both sides.
Reason 4: Subtracting 14 from both sides.
Reason 5: Dividing both sides by -2. (Answer)
2.
The equations of straight lines 4x + y = 3 and x - 4y = c ......... (1) are always perpendicular to each other for any constant value of c.
{Since, the product of slopes of two perpendicular straight lines is -1}
Now, this equation (1) passes through the point (-4,-6) and it will satisfy the equation.
Hence, - 4 - 4(- 6) = c, ⇒ c = 20
Therefore, x - 4y = 20 is the equation of the perpendicular straight line. (Answer)
